Square and Square Root Calculator

Square and Square Root Calculator

Square and square root calculator

Square and Square root

A number multiplied twice by itself would result in a square of a number. In other words, the square of a number is the power of 2. The square of x will be written as x2

A square of 5 will be written as – 52 = 5×5 = 25.

The square root would be exactly opposite to it, i.e. the square root of 25 will be 5.

Square root can be mathematically expressed as the square root of a given number ‘x’ is equal to a number ‘y’ multiplied by itself. In simple, x = y2.  In short, a number y, which after multiplying by itself will give x.

The square root is denoted by the radical sign –

For example- the square root of 81 will be written as

Every non-negative number has a non-negative square root, i.e. a positive number will give a positive integer, but every positive number can also give negative square roots.

Hence, in the form of the formula square root can be written as –

√x = y ⟺ x = y

How to find square root manually-

  • To calculate manually, you can generally, learn some basic square and square roots of the number.
Square rootSquare
11
24
39
416
525
636
749
864
981
10100
11121
12144
13169
14196
15225
  • Using the above basic squares and square roots, you can predict the result for any number.

For example- if you are looking for the square root of 96 then, look for the closest number near 96 which is a perfect square.

The closest number to 96 is 100 which is a perfect square of 10.

So maybe, be near 10. But 100 is greater than 96, so let’s consider 9. 3 roots of 96.

Square of 9.3 = 86.49, which is not equal to our number.

Hence, will try for 9.4, and squaring the number will give a different result.

Repeat the procedure by changing decimal points till you get the result. This procedure will be used when a number is not a perfect square.

Square root calculator-

  • The Square and square root calculator provides an easy and handy method to calculate the results quickly.
  • Enter the positive number in the provided box and press the result button given below.
  • The results are given quickly and automatically without much manual work.

Note-

  • The calculator provides squares and the square root of only positive integers even though a positive number can give a negative square root.
  • It is easy to calculate manually with the perfect square numbers.
  • The square and the square root of zero will always be ‘0’.
  • Remembering basic squares will provide easy calculations manually too.
  • The calculator provides an easy and simple automatic result that can be quickly copied.

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