Square root
If you have to find square of a number then we write
it means we multiplied x two times and got y.
For example find the square of 2 that you have to multiple 2 two times
We find square of a number by multiplying that number twice.
So what is a square root
Finding a square root is reverse process of square.
In square root we find the number which is multiplied itself to get the square of number.
a square root is represented by symbol
This symbol is known as square root.
here x represents the number whose square root we want to find
In general
if then
,
in above example
Square root of y is x
square root of 4 is 2
square root of 9 is 3
Example find the value of
We all know 36 is square of 6
so we can write
so =
Find the
\sqrt{9*9}=9
Finde the square root of 625
by factoring 625
we get 625=5*5*5*5
so
=
=5*5
=25
To find the square root of 2 is as below

Cube root
We can find cube of a number by multiplying it three times
for example to find cube root of x we multiply it tree times
Here y is cube of x
Finding the cube of 2
that is
here 8 is cube of 2
similar
Now what is cube root
Cube root is a reverse process of a cube.
In cube root we find the number which is multiplied itself thrice to get the cube of number.
here
is known as cube root of
Cube root is represented by
here x is number whose cube root we want to fine
Finding Square & cube root by factorization
Find th square root of 6084
Calculate the value of
169 is square of 13