Question

Add or subtract the radical expressions as indicated. Assume that all variables represent positive real numbers​

Answer 1

(3 + 2y^2)√3y

Explanation:

you first step in answering this question is to simplify all radicals

3√(3y) - √(27y^5) + y^2[√(75y)]

this becomes

3√(3y) - 3y^2(√3y) + 5y^2[√(3y)]

because all of them have √(3y) we can treat the √3y like a variable

so

(3 - 3y^2 + 5y^2)√(3y)

then you combine like terms

(3 + 2y^2)√3y is your answer