What is the exact value of the expressions the square root of 180. − the square root 125. + the square root of 5.? simplify if possible. 2 the square root of 2. 12 the square root of 2. 2 the square root of 5. 12 the square root of 5.

Rewrite √180 as √(6^2*5), pull terms out from under the radical to get 6√5

Rewrite √125 as √(5^2*5), pull terms out from under the radical to get 5√5

Now you have:

6√5 - 5√5 + √5 = 2√5 ( 2 the square root of 5.)

Step-by-step explanation:

The given expression is  

We want to simplify to the form

We apply the product rule of exponents: under the radical to get:

We simplify the exponent to get:

Recall that:

This implies:

Also,

This implies: