Question

Combine the following expressions.

`√(3y^2) + 4√(12y^2) - y√(75)`

Answer 1

4y square root of 3

Explanation:

Answer 2

`12y √(3)`

EXPLANATION

The given expression is

`√(3y^2) + 4√(12y^2) - y√(75)`

We identity and remove the perfect squares to obtain

`y√(3) + 16y√(3) - 5y√(3)`

We now observe that, the three terms are all similar.

We combine the similar terms to get:

`y√(3) + 16y√(3) - 5y√(3) = 12y √(3)`