Subtract the radical expressions. Assume that all variables represent positive real numbers.

Question

Subtract the radical expressions. Assume that all variables represent positive real numbers.

A. It can't be simplified further.

B.

C.

D.

Answer 1

Hello Lily

You have: (3)sqrt(36_*2_*y²_*y) - sqrt(2y) = (18y)sqrt(2y) - sqrt(2y). Factoring out sqrt(2y), you have:

(18y - 1)[sqrt(2y)]. So the answer is (B).

Sincerely

Michael Imbert

Answer 2

You first need to simplify sqrt(72) =Sqrt(36 x 2) = 6 sqrt(2)

And sqrt (y^3) =sqrt(y² y) = y sqrt(y)

So your expression now becomes 3 * 6y sqrt(2y) -Sqrt(2y) = 18y sqrt(2y) - sqrt(2y) = sqrt(2y)(18y - 1)

This is the same as B