Solving Square root


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In Mathematics square root is having a significant importance while simplifying the numbers.Let's know more about square ,square root and how to solve the numbers by using the square root functionality.

What is a Square root

Before solving Square roots, we first we need to understand what is a square. The square of any number can be calculated by multiplying the number with itself.

Example :
Square of 2 can be calculated as: 2∗2=4 So we got the square of 2 is 4 .Square root is the opposite of what a square is.


Example :
square of 2 is 4 so square root of 4 is 2.

Square root of any number is the number which when multiplied with itself gives the original number whose square root we were calculating.

Example :
square root of 36 is 6 because when we multiply 6 with 6 we get the output as 36.

Square root Symbol

The square root is denoted by .

Example :
If we find the square root of 4 then we denote it as √4

Solving Square root

For solving square root of any number we first need to check if there is any number which multiplied with itself gives the original number. Like 5 when multiplied with 5 gives 25 . so square root of 25 is 5.These are the perfect squares of whole numbers.But sometimes we come across with some numbers whose square root is not any whole number.

Example :
Find the square root of 12

We know 12=2∗2∗3 , let's see how to find the square root of 12?

When we write √12 we get √2∗2∗3=2√3

So on solving we found the square root of 12 as 2√3.

Simplifying square root

When we come across any square root problem then how do we simplify it.

Example :
Find the square root of 49.

We need to check from the whole numbers first, and need to find which number multiplied with itself gives 49. we will get 7∗7=49. So the Square root of 49 is 7.



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