# Excel SQRTPI Function

## What is SQRTPI Function in Excel?

The SQRTPI function is one of the math functions of Excel.

It Returns the square root of (number* Pi).

We can find this function in Math&trig of insert function Tab.

## How to use SQRTPI function in excel

1. Click on an empty cell (like F5 )

2. Click on fx icon (or press shift+F3)

3. In the insert function tab you will see all functions

4. Select math and trig category

5. Select SQRTPI function

6. Then select ok

7. In the function arguments Tab you will see SQRTPI function

8. Number section is the number by which p is multiplied

9. You will see results in the formula result section

## Examples of SQRTPI function in excel

1. If you have a complex number -7+24i stored in cell A1, the formula =SQRTI(A1) will return approximately 2.1424+3.9707i.
2. If you have a complex number 10-5i stored in cell A1, the formula =SQRTI(A1) will return approximately 3.2728+0.5657i.
3. If you have a complex number 6i stored in cell A1, the formula =SQRTI(A1) will return approximately 1.0954+1.0954i.
4. If you have a complex number 1-i stored in cell A1, the formula =SQRTI(A1) will return approximately 1.0987-0.4551i.
5. If you have a complex number 12+16i stored in cell A1, the formula =SQRTI(A1) will return approximately 3.3092+1.2883i.
6. If you have a complex number -2-2i stored in cell A1, the formula =SQRTI(A1) will return approximately 1.0987-1.0987i.
7. If you have a complex number 21i stored in cell A1, the formula =SQRTI(A1) will return approximately 3.8729+3.8729i.
8. If you have a complex number -8+15i stored in cell A1, the formula =SQRTI(A1) will return approximately 2.5671+2.0622i.
9. If you have a complex number 4-3i stored in cell A1, the formula =SQRTI(A1) will return approximately 2.0494+0.4551i.
10. If you have a complex number -1+sqrt(3)i stored in cell A1, the formula =SQRTI(A1) will return approximately 1.1876+0.6877i.

Example 1:

### How to use SQRTPI function in excel

You can see examples of SQRTPI function below:

``````sqrtpi(2) ----->>>>answer is  2.506

## Excel Introduces New SQRTI Function for Complex Number Calculations

Excel’s SQRTI function is used for calculating the square root of a complex number, represented in the form of a+bi. This new function allows users to perform complex number calculations with ease in Excel.

## Mastering the SQRTI Function: A Step-by-Step Tutorial for Excel Users

To master the SQRTI function in Excel, you will need to understand how to use it properly. The syntax for the SQRTI function is as follows:

``````=SQRTI(complex_number)
``````

Here’s an example of how to use the SQRTI function in Excel:

Suppose you have a complex number 2+3i stored in cell A1. You can use the following formula to find its square root:

``````=SQRTI(A1)
``````

The result will be approximately 1.67414968+0.895977476i.

## Syntax and Usage of Excel’s SQRTI Function Explained in Detail

Excel’s SQRTI function is used to calculate the square root of a complex number. The syntax for the SQRTI function is as follows:

``````=SQRTI(complex_number)
``````

Here’s an example of how to use the SQRTI function in Excel:

Suppose you have a complex number -5-12i stored in cell A1. You can use the following formula to find its square root:

``````=SQRTI(A1)
``````

The result will be approximately 2.160246899+2.541780082i.

Note that the SQRTI function is only available if the Microsoft Office Spreadsheet 15.0 Object Library or later is installed on your computer.

## Discover What the SQRTI Function in Excel Returns for Complex Numbers

The SQRTI function in Excel returns the square root of a complex number in the form of a+bi. Here’s an example of how to use the SQRTI function in Excel:

Suppose you have a complex number 3+4i stored in cell A1. You can use the following formula to find its square root:

``````=SQRTI(A1)
``````

The result will be approximately 2.069+0.465i.

Note that the SQRTI function is only available if the Microsoft Office Spreadsheet 15.0 Object Library or later is installed on your computer.

## Real vs. Complex Numbers: Can the SQRTI Function Be Used for Both?

The SQRTI function in Excel is designed specifically for complex numbers, which are numbers with both real and imaginary components. It cannot be used for real numbers on their own. However, it can be used for complex numbers that have a real component of zero. Here’s an example of using the SQRTI function for a complex number with a real component of zero:

Suppose you have a complex number 0+5i stored in cell A1. You can use the following formula to find its square root:

``````=SQRTI(A1)
``````

The result will be approximately 1.58113883+1.58113883i.

## Excel Users Learn How to Work with Complex Numbers Using the SQRTI Function

Excel users can work with complex numbers using the SQRTI function. The SQRTI function returns the square root of a complex number in the form of a+bi. Here’s an example of how to use the SQRTI function in Excel:

Suppose you have a complex number -7+24i stored in cell A1. You can use the following formula to find its square root:

``````=SQRTI(A1)
``````

The result will be approximately 2.1424+3.9707i.

Note that the SQRTI function is only available if the Microsoft Office Spreadsheet 15.0 Object Library or later is installed on your computer.

## Excel’s SQRTI Function Enables Finding Square Roots of Negative Numbers

Excel’s SQRTI function enables finding the square roots of negative numbers. Unlike other functions in Excel, the SQRTI function works with imaginary numbers represented as a+bi. Here’s an example of how to use the SQRTI function in Excel with a negative number:

Suppose you have a complex number -8+15i stored in cell A1. You can use the following formula to find its square root:

``````=SQRTI(A1)
``````

The result will be approximately 2.5671+2.0622i.

Note that the SQRTI function is only available if the Microsoft Office Spreadsheet 15.0 Object Library or later is installed on your computer.

## Understanding the Inverse of Excel’s SQRTI Function for Complex Numbers

The inverse of Excel’s SQRTI function for complex numbers returns the square of a complex number. To find the square of a complex number, you can use the POWER function with the exponent set to 2. Here’s an example of how to find the square of a complex number:

Suppose you have a complex number 2+3i stored in cell A1. You can use the following formula to find its square:

``````=POWER(SQRTI(A1),2)
``````

The result will be approximately -5+12i.

Note that the SQRTI function is only available if the Microsoft Office Spreadsheet 15.0 Object Library or later is installed on your computer.

The SQRTI function is only available if the Microsoft Office Spreadsheet 15.0 Object Library or later is installed on your computer. To check your computer’s Microsoft Office Spreadsheet Library version, you can follow these steps:

1. Open Excel and create a new workbook.
2. Press ALT + F11 to open the Visual Basic Editor.
3. In the Visual Basic Editor, click on Tools > References.
4. In the References window, scroll down and look for “Microsoft Office Spreadsheet 15.0 Object Library” (or a higher version).
5. Make sure this reference is checked and click OK.

If the Microsoft Office Spreadsheet 15.0 Object Library or a higher version is not listed in the References menu, you may need to update your Microsoft Office installation.

## Which Versions of Excel Support the SQRTI Function for Complex Numbers?

The SQRTI function is only available if the Microsoft Office Spreadsheet 15.0 Object Library or later is installed on your computer. This means that the SQRTI function is supported in newer versions of Excel, such as Excel 2013, Excel 2016, Excel 2019, and Excel for Office 365. If you are using an older version of Excel, you may need to update your Microsoft Office installation to access the SQRTI function.

## Excel Users Learn How to Use Array Formulas with the SQRTI Function

Excel users can use array formulas with the SQRTI function to perform calculations on multiple cells at once. An array formula is a formula that works with an array of values instead of a single value. Here’s an example of how to use an array formula with the SQRTI function in Excel:

Suppose you have a range of complex numbers stored in cells A1:A5. You can use the following formula to find the square root of each number:

``````=SQRTI(A1:A5)
``````

Note that you need to enter this formula as an array formula by pressing CTRL + SHIFT + ENTER.

## Exciting Applications: Using the SQRTI Function for Conditional Formatting in Excel

Excel’s conditional formatting feature allows users to format cells based on their values or contents. You can use the SQRTI function in combination with conditional formatting to highlight cells that contain complex numbers with certain properties. Here’s an example of how to use the SQRTI function for conditional formatting in Excel:

Suppose you have a range of complex numbers stored in cells A1:A5. You want to highlight all cells that have a magnitude greater than 5. You can use the following steps:

1. Select the range of cells you want to format (A1:A5).
2. Click on Home > Conditional Formatting > New Rule.
3. In the New Formatting Rule dialog box, select “Use a formula to determine which cells to format”.
4. In the formula bar, enter the following formula:
``````=MAGNITUDE(SQRTI(A1))>5
``````
1. Click on the “Format” button and choose your desired formatting options.
2. Click OK in all dialog boxes.

Now, all cells that contain complex numbers with a magnitude greater than 5 will be highlighted with your chosen formatting.

## Convert Complex Numbers from Rectangular to Polar Form in Excel with the SQRTI Function

Excel’s SQRTI function can be used to convert complex numbers from rectangular form (a+bi) to polar form (r∠θ). To convert a complex number from rectangular to polar form, you need to calculate the magnitude (r) and angle (θ) of the number. Here’s an example of how to do this in Excel:

Suppose you have a complex number 3+4i stored in cell A1. You can use the following formulas to find its magnitude and angle:

``````=MAGNITUDE(A1)
=ATAN2(IMAGINARY(A1),REAL(A1))
``````

The first formula will return a value of approximately 5, which is the magnitude of the complex number. The second formula will return a value of approximately 0.93, which is the angle of the complex number in radians. To convert the angle to degrees, you can multiply it by 180/PI.

Now that you have the magnitude and angle of the complex number, you can express it in polar form as 5∠53.13°.

## Convert Complex Numbers from Polar to Rectangular Form in Excel with the SQRTI Function

Excel’s SQRTI function can also be used to convert complex numbers from polar form (r∠θ) to rectangular form (a+bi). To convert a complex number from polar to rectangular form, you need to know its magnitude (r) and angle (θ). Here’s an example of how to do this in Excel:

Suppose you have a polar form of a complex number 6∠120°. You can use the following formulas to find its rectangular form:

``````=6*COS(RADIANS(120))
``````

The first formula will return a value of -3, which is the real component of the complex number. The second formula will return a value of approximately 5.2, which is the imaginary component of the complex number. Therefore, the rectangular form of the complex number is -3+5.2i.

## Calculate Magnitude of Complex Numbers in Excel with the SQRTI Function

Excel’s SQRTI function can be used to calculate the magnitude of a complex number, which represents its distance from the origin on the complex plane. To calculate the magnitude of a complex number, you can use the MAGNITUDE function in Excel. Here’s an example of how to do this:

Suppose you have a complex number 2+3i stored in cell A1. You can use the following formula to find its magnitude:

``````=MAGNITUDE(A1)
``````

The result will be approximately 3.605551275, which is the distance of the complex number from the origin on the complex plane.

## Calculate Angle of Complex Numbers in Excel with the SQRTI Function

To calculate the angle of a complex number in Excel using the SQRTI function, you can use the following formula:

``````=2*ATAN(SQRTI(imaginary_part/real_part+1)/SQRT(2))
``````

For example, if you have a complex number of 3 + 4i, where 3 is the real part and 4 is the imaginary part, you would use the following formula:

``````=2*ATAN(SQRTI(4/3+1)/SQRT(2))
``````

The result of this calculation would be approximately 0.93 radians.

## Find Higher Order Roots of Complex Numbers in Excel with the SQRTI Function

To find higher order roots of complex numbers in Excel using the SQRTI function, you can divide the power by the order of the root and then raise the result to the reciprocal of the order. For example, to find the cube root of -64i, you would use the following formula:

``````=(-64i)^(1/3) = 4√2 * (cos(pi/6) + i*sin(pi/6))
``````

## Combine the SQRTI Function with Other Excel Functions for Advanced Calculations

The SQRTI function can be combined with other Excel functions for advanced calculations involving complex numbers. For example, you can use the SQRTI function along with the IMAGINARY and REAL functions to extract the real and imaginary parts of a complex number separately. To extract the real and imaginary parts of the complex number 2-3i, you would use the following formulas:

``````=IMAGINARY(2-SQRTI(9)) // This returns -3
=REAL(2-SQRTI(9)) // This returns 2
``````

## Plotting Complex Numbers on the Complex Plane in Excel using the SQRTI Function

To plot complex numbers on the complex plane in Excel using the SQRTI function, you can use a scatter plot and plot the real and imaginary parts separately. For example, to plot the complex number 3+4i, you would plot the point (3,4) on the complex plane.

## Understanding Limitations When Working with Complex Numbers Using Excel’s SQRTI Function

It is important to understand that the SQRTI function in Excel is designed to work only with complex numbers of the form a+bi, where a and b are real numbers. It does not work with complex numbers in polar form or other non-standard forms. Additionally, the SQRTI function returns only one of the possible square roots of a complex number, but there may be two possible square roots.