Square root of a number


Before understanding what the square root of a number is, it is important to understand the meaning of root of a number.



The root of a number is an equal factor of the number

For example, find the root of 16

First, we need to factor 16

16 = 1 × 16

16 = 2 × 8

16 = 4 × 4

The root of 16 is 4 because 4 is the equal factor for 16

We call 4 the square root of 16

4 is called square root because we have to square 4 or raise 4 to a power of 2 to get 16

Other examples:

Find the square root of 4

4 = 1 × 4

4 = 2 × 2

The equal factor is 2, so 2 is the square root of 4 Find the square root of 64

64 = 1 × 64

64 = 2 × 32

64 = 4 × 16

68 = 8 × 8

The equal factor is 8, so the square of 64 is 8

For the numbers above, the square was equal to a whole number.

it is not always possible to get the square root as a whole number.

Sometimes, you may get a real number when finding the square root.

For example, use the square root calculator below to find the square root of 5

The result includes lots of numbers after the decimal point.

Check out this square root calculator

Ready for big time challenge? Just like long division, learn how to compute the square root without a calculator for any number that is not a perfect square.I promise you will not sweat too much!

Teachers! Do you want a ready made square roots table that students can quickly refer to as they solve their basic math problems?

Get it here: square roots table




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