Question

√180m^2
I have to solve this using perfect squares, is anyone familiar with those?

Answer 1

Given:

The expression is

`√(180m^2)`

To find:

The value of the given expression by using the perfect squares.

Solution:

We have,

`√(180m^2)`

It can be written as

`=√(2* 2* 3* 3* 5* m^2)`

`=√((2)^2(3)^25m^2)`

`=√((2* 3* m)^25)`

`=√((6m)^25)`

`=6m√(5)`

Therefore, the value of given expression is
`6m√(5)`.