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.