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 root | Square |
1 | 1 |
2 | 4 |
3 | 9 |
4 | 16 |
5 | 25 |
6 | 36 |
7 | 49 |
8 | 64 |
9 | 81 |
10 | 100 |
11 | 121 |
12 | 144 |
13 | 169 |
14 | 196 |
15 | 225 |
- 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.