simplify the square root of (x^3+y^3) over the square root of (x+y)

Question

i have a problem simplifying the expression

Answer 1

simplify the square root of (x^3+y^3) over the square root of (x+y) simplify the square root of (x^3+y^3) over the square root of (x+y) ________ ____ √x^3 + y^3 = x + y √x + y = x + y The top becomes x + y sqrt(x + y) ____ ____ √x + y √x + y The bottom is sqrt(x + y) divide out the sqrt(x + y) leaving The answer is x + y.