Question

I really don’t understand this so i would really appreciate help

Answer 1

`6√(2)+3√(10)`

Explanation:

Use the Distributive Property. Remember that you can multiply the numbers under a square root whether or not they're the same. But you can ONLY add square roots when the square root part is the same.

`√(3)(2√(6)+√(30))\\= √(3)(2√(6))+√(3)(√(30))\\=2√(18)+√(90)`

Simplify each square root part:

`2√(18)+√(90)\\=2(3√(2))+3√(10)\\=6√(2)+3√(10)`

Since the square root parts are different, you cannot simplify any further.