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Square Root Calculator Worksheet

Reviewed by Calculator Editorial Team

This square root calculator worksheet helps students and teachers practice finding square roots of numbers. The calculator provides quick results while the worksheet offers practice problems and answer keys.

What is Square Root?

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5 because 5 × 5 = 25. Square roots are important in mathematics, science, and engineering.

In algebra, the square root of a number x is written as √x. For positive real numbers, there are two square roots: one positive and one negative. For example, √25 = ±5.

How to Use This Calculator

To use the square root calculator:

  1. Enter a positive number in the input field
  2. Click the "Calculate" button
  3. View the result and see the calculation steps
  4. Use the "Reset" button to clear the form

The calculator will display both the positive and negative square roots of the entered number.

Formula

The square root of a number x is calculated using the following formula:

√x = y where y × y = x

For example, √16 = 4 because 4 × 4 = 16

The calculator uses JavaScript's built-in Math.sqrt() function to compute the square root accurately.

Examples

Here are some examples of square root calculations:

Number Square Root Verification
9 3 3 × 3 = 9
16 4 4 × 4 = 16
25 5 5 × 5 = 25
36 6 6 × 6 = 36
49 7 7 × 7 = 49

Printable Worksheet

This printable worksheet contains 20 practice problems for finding square roots. Each problem includes a number and a blank for the student to write the square root.

To use the worksheet:

  1. Print the worksheet
  2. Have students solve each problem using the calculator or by hand
  3. Check answers using the calculator
  4. Provide feedback and additional practice as needed

Worksheet available for download in PDF format. Click the button below to download.

FAQ

What is the square root of zero?
The square root of zero is zero because 0 × 0 = 0.
Can I find the square root of a negative number?
In real numbers, the square root of a negative number is not defined. However, in complex numbers, negative numbers have square roots.
How do I simplify √18?
√18 can be simplified to 3√2 because 18 = 9 × 2 and √9 = 3.
What is the difference between square root and square?
The square of a number is that number multiplied by itself (x² = x × x). The square root is the inverse operation that finds a number which, when multiplied by itself, gives the original number.