Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!

Simplify.

4√27 + 6√75

Answer 1

To answer this, you will first need to simply the expressions.

$4\sqrt{27} = 12\sqrt{3}$

$6\sqrt{75} = 30\sqrt{3}$

Now with the expressions simplified, you'll add the two together getting $42\sqrt{3}$

Answer 2

• Product rule of radicals: √ab = √a × √b

So firstly, we have to simplify the radicals. Using the product rule of radicals, simplify these radicals as such:

4√27 = 4 × √9 × √3 = 4 × 3 × √3 = 12√3

6√75 = 6 × √5 × √15 = 6 × √5 × √5 × √3 = 6 × 5 × √3 = 30√3

Now, add these two simplified radicals as such:

12√3 + 30√3 = 42√3

42√3 is your final answer.