Question

Find the exact value of the radical expression in simplest form.
the square root of 16 times y cubed − the square root of y cubed?

Answer 1

√16y^3 - √y^3 = 4√y^3 - √y^3 = 3√y^3 = 3y√y

Answer 2

I basically first brought 16 out since it's a perfect square, then thought of √y^3 as a variable and combines like terms. Then I brought out y^2 from y^3.