Question

Which of the following product? assume y>0 3 square root(y^2 square root 4+ square root 8y)

Answer 1

a

Explanation:

Answer 2

`6y^2√(10)+12√(5y)`

Explanation:

Use the distributive property and the rules for forming and simplifying square roots.

(√a)(√b) = √(ab)

√(a²b) = a√b

__

`3√(10)\cdot(y^2√(4)+√(8y))=(3√(10))(2y^2) +(3√(10))(√(8y))\\\\=6y^2√(10)+3√(80y)\\\\=6y^2√(10)+3√((4^2)(5y))\\\\=\boxed{6y^2√(10)+12√(5y)}\qquad\text{matches the first choice}`