Question

Simplify the square root.

Answer 1

18√3

Explanation:

In order to simplify 9√12, we'll have to factor a perfect square that evenly divides into 12 itself.

• We know that 4 is a perfect square as 2^2 = 4 and 12/4 = 3. Thus, 4 is the highest perfect square which evenly divides into 12:

`9√(12)\\ 9√(4*3)`

We can leave the 9 outside and rewrite the expression as two square roots:

`9(√(4)*√(3)) \\9(2√(3))`

Now we can distribute to fully simplify the square root

`18√(3)`