Question

What is the product? Assume x greater-than-or-equal-to 0 (StartRoot 3 x EndRoot + StartRoot 5 EndRoot) (StartRoot 15 x EndRoot + 2 StartRoot 30 EndRoot) 3 x StartRoot 5 EndRoot + 3 StartRoot 165 x EndRoot + 10 StartRoot 6 EndRoot 3 x StartRoot 5 EndRoot + 6 StartRoot 10 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot 3 x StartRoot 5 EndRoot + 10 StartRoot 6 EndRoot StartRoot 3 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot

Answer 1

The answer is D

Explanation:

Answer 2

3x√5 + 6√(10x) + 5√(3x) + 10√6

Explanation:

`(√(3x)+√(5))(√(15x)+2√(30))=√(3x)(√(15x)+2√(30))+√(5)(√(15x)+2√(30))\\\\=√(45x^2)+2√(90x)+√(75x)+2√(150)\\\\=√(5(3x)^2)+2√(10x(3)^2)+√(3x(5)^2)+2√(6(5)^2)\\\\=\boxed{3x√(5)+6√(10x)+5√(3x)+10√(6)}`

__

The applicable rules of roots are ...

(√a)(√b) = √(ab)

√(ab²) = b√a