Question

What’s the answer?? need help

Answer 1

Answer: Second option.

Explanation:

Remember that when you multiply radicals:

`(\sqrt[n]{x})(\sqrt[n]{y})=\sqrt[n]{xy}`

Then, since the radicals have the same index, you can multiply them:

Apply Distributive property:

`(√(3x)+√(5))(√(15x)+2√(30))=\\\\=(√(3x))(√(15x))+(√(3x))(2√(30))+(√(5))(√(15x))+(√(5))(2√(30))\\\\=√(45x^2)+2√(90x)+√(75x)+2√(150)`

Remember that:

`\sqrt[n]{x^n}=x`

Then, you can rewrite the expression:

`=√(3^2*5x^2)+2√(3^2*5*2x)+√(5^2*3x)+2√(5^2*2*3)`

Simplifying, you get:

`=3x√(5)+2(3√(5*2x))+5√(3x)+2(5√(2*3))\\\\=3x√(5)+6√(10x)+5√(3x)+10√(6)`