Question

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

Answer 1

Given:

The expression is

$\sqrt{180m^2}$

To find:

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

Solution:

We have,

$\sqrt{180m^2}$

It can be written as

$=\sqrt{2\times 2\times 3\times 3\times 5\times m^2}$

$=\sqrt{(2)^2(3)^25m^2}$

$=\sqrt{(2\times 3\times m)^25}$

$=\sqrt{(6m)^25}$

$=6m\sqrt{5}$

Therefore, the value of given expression is $6m\sqrt{5}$.