Question

Which choice is equivalent to the expression below when y  0?

√Y^+√9Y^3-3Y√Y

A.Y√10Y-3Y√Y
B.-2Y√11Y
C.Y√Y
D.√10Y^3-3Y√Y

Answer 1

`y√(y)+√(9y^3)-3y√(y)=y√(y)+\sqrt9\cdot√(y^2\cdot y)-3y√(y)\\\\=y√(y)+3y√(y)-3y√(y)=y√(y)\\\\Answer:C.`