Square Root Calculator

Are you facing trouble while finding the square root of a given number? No problem, you can use our square root calculator to solve the square root problem.

Radicand:
Please wait... loading-icon

Table of Contents:

Introduction to Square Root Calculator:

Square root calculator is an online tool that is used to find the square root of a number. It evaluates the square root of a given number and describe whether the given number is a perfect square or not.

Square Root Calculator with Steps

While you evaluate the square root problems manually you need to check tables to identify if the given number has a perfect square which is difficult so you can use our square root solver to get the square root of a given question instantly.

What is Square Root?

A square root is a number that can be multiplied by itself and with original number. It is represented with the symbol “√ “ which is called square root. The number inside the square root is called radicand and the exponential power of square root is radical.

Square root exponential power is 1/2 on specific numbers that are product of itself. It is noted that you can find the square root of a positive number only. If you take the square root of a negative number then you will get an imaginary number.

How to do Calculations for Square Root?

For calculating the square root of a number, the square root finder uses the specific rules that helps us to easily evaluate number having perfect square. These rules for square roots are:

For Perfect Square:

To determine the perfect square, you can begin with the number and start estimating its square root. You can also use the table of perfect square roots in this regard.

For Positive Square Root:

If the given number has no perfect squared value on the table then you can choose the value that is close to the original number. It gives the square root value of the given number in decimal but it's not a perfect square.

For Negative Root:

Negative number square root is not possible because it always gives an imaginary number in solution rather than a real number. For negative numbers, square root is always given with “ 𝑖” sign.

Solved Example of Square Root Question:

Need help to solve the square root question? Our square root calculator can provide the answer however you should manually practice it as well. So take a look at the example to understand it accurately.

Example:

Find the Square Root of 8?

Solution:

Square root of 8 is not perfect so it means it has a decimal representation without repeating numbers. The sqrt calculator gives the value as 2.82842712474619.

$$ \sqrt[2]{8} $$

$$ \sqrt[2]{4 . 2} $$

$$ 2 . \sqrt[2]{2} $$

$$ 2 \sqrt[2]{2} $$

Find the Square Root of 2

Square root of 2 is not perfect so it means it has a decimal representation without repeating numbers. The calculator square root gives the answer as 1.414213562373095.

$$ \sqrt[2]{2} $$

$$ 1.41421356 $$

Find the Square Root of -1

The square root of a negative number is not possible because it gives the imaginary number 𝑖 only. As -1 is not a negative number so, the square root of -1 is 𝑖, which is the imaginary term. Therefore the square root of -1 is 𝑖.

$$ \sqrt[2]{-1} $$

$$ =\; 1 i $$

How to Use the Square Root Calculator?

Square root solver has an easy-to-use design so that you can use it easily to calculate the square root questions.

Before adding the input in square root finder for square root solutions, you must follow some simple steps and these are:

  1. Enter the number for the square root in the input box.
  2. Review your input number value before hitting the calculate button of calculator with square root to start the calculation process.
  3. Click on the “Calculate” button of sqrt calculator to get the desired result of your given problem.
  4. If you want to try our root square calculator first then you can use the load example for better understanding.
  5. Click on the “Recalculate” button to get a new page for solving more number problem for finding the square root.

Outcome from Square Root Solver:

Calculator square root gives you the solution of given number problem when you give it an input. It provides you with solutions of square-root problems in steps.

  • Result Option:

When you click on the result option, it provides you with a solution of roots of different numbers.

  • Possible Step:

When you click on the possible steps option it provides you step by step solution in detail.

Benefits of Using Square Root Finder:

Sq root calculator give you tons of advantages whenever you use it to calculate number problems using the square root method. These advantages are:

  • It saves your time and effort from doing complex calculations of square root of a numbers.
  • Root square calculator is a free-of-cost tool so you can use it to find the root of a given number.
  • Calculator with square root is an adaptive tool that allows you to solve various types of positive numbers, and perfect square root questions.
  • You can use this tool for practicing different square root problems.
  • Calculator square root is a reliable tool that provides you an accurate solutions whenever you use it to calculate the square root problems.
  • Square root calculator provides you solution in steps so that you get more clarity about the square root method.
Related References
Frequently Ask Questions

What is the Square Root of 64?

Square root of a number is a value that, when multiplied by itself, gives the original number. As 64 has a perfect square root then 64 is a square root of 8 as,

$$ 8 \times 8 \;=\; 64 $$

$$ 2\sqrt{64} $$

$$ =\; 8 $$

What is the square root of 100?

As 100 has a perfect square root then 100 is a square root of 10 as,

$$ 10 \times 10 \;=\; 100 $$

$$ 2\sqrt{100} $$

$$ =\; 10 $$

What is the Square Root of 10?

The square root of 10 has no perfect square root so it can be expressed in its decimal representation. It is approximately 3.1622776601683795.

$$ 2\sqrt{10} $$

$$ =\; 3.16227766 $$

What is the Square Root of 12?

The square root of 12 has no perfect square root so it can be expressed in its decimal representation. It is approximately 3.4641016151377544.

$$ 2 \sqrt{12} $$

$$ =\; 3.46410162 $$

What is the Square Root of 4?

As 4 has a perfect square root then 4 is a square root of 2 as

$$ 2 \times 2 \;=\; 4 $$

$$ 2\sqrt{4} $$

$$ =\; 2 $$

Is This Tool Helpful