Question

What is the simplified form of the following expression?

Answer 1

A

Explanation:

Answer 2

`√(3)`

Explanation:

We will be using 2 properties of radicals in this simplification (outlined below).

• 
  `√(a*b)=√(a)* √(b)`
• 
  `√(a)*√(a)=a`

Let's simplify this:

`2√(27) +√(12) -3√(3)-2√(12)\\ =2√(9*3)+√(4*3) -3√(3)-2√(4*3) \\=2√(9) √(3) +√(4) √(3)-3√(3)-2√(4) √(3) \\=2(3)√(3)+(2)√(3) -3√(3)-2(2)√(3) \\ =6√(3) +2√(3)-3√(3)-4√(3)  \\=√(3)`

First answer choice is right.