Square Root Calculator

Square Root calculator enumerates the square root of a given number. Square root is defined as a value that can be multiplied by itself to get the original number. The square of a number x will be a number y that satisfies the equation y² = x.

What is a Square Root Calculator?

Square Root Calculator is an online tool used to calculate the square root for a given number that is a positive integer. The square root of a number can also be expressed as the number raised to the power 1/2. To use this square root calculator, enter values in the input box.

Square Root Calculator

NOTE: Enter number upto 3 digits only.

How to Use the Square Root Calculator?

Follow these simple steps to calculate the square root using an online square root calculator:

• Step 1: Go to online square root calculator.
• Step 2: Enter a positive number in the input box of the square root calculator.
• Step 3: Click on the "Calculate" button to find the square root of the number.
• Step 4: Click on the "Reset" button to clear the fields and enter new values.

How Does Square Root Calculator Work?

The square root of a number is a number that, when multiplied by itself, gives the product as the original number. '√ ' is the symbol that is used to represent the square root of a number. There are four methods to find the square root of a number. These are listed as follows:

1. Repeated subtraction method.
2. Prime Factorization method.
3. Estimation Method.
4. Long Division Method.

The first three methods are very useful in determining the square root of a perfect square. A positive number that can be written as the multiplication of the number by itself can be defined as a perfect square. The long division method is more laborious however, it can be used in finding the square root of any number. Such a number does not have to be a perfect square. If the unit's place of a number has 2, 3, 7, or 8 then the perfect square root will not exist. However, if the unit's place of a number has 1, 4, 5, 6, or 9 then such a number can have a perfect square root. The formula for a square root is given as

y = √x

Solved Examples on Square Root Calculator

Example 1:

Find the square root of 64 and verify it using the square root calculator.

Solution:

Using the Prime Factorization Method

64 = 2 × 2 × 2 × 2 × 2 × 2

64 = 2² × 2² × 2²

64 = (2 × 2 × 2)²

64 = 8²

√64 = 8

Therefore, 8 is the square root 64.

Example 2:

Find the square root of 25 and verify it using the square root calculator.

Solution:

Using the Prime Factorization Method

25 = 5 × 5

25 = 5²

√25 = 5

Therefore, 5 is the square root 25.

Similarly, to find the square root of the number, you can try the square root calculator for the following:

• 800
• 216

☛ Related Articles:

• Square Root
• Prime Factorization

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