Question

Enter the correct answer in the box. What is this expression in simplified form? 3\sqrt{88}

Answer 1

Answer: $12\sqrt{5}$

Step-by-step explanation:

$3\sqrt{88}$

88 can be rewritten as 8 x 10 and 8 can be rewritten as $2^2*2$ making a 2 come out of the root.

$3\sqrt{2^2*2*10}\\ 3*2\sqrt{2*10}\\6\sqrt{2*10}$

10 can be rewritten as 2 x 5.

$6\sqrt{2*2*5}$

2*2 can also be rewritten as $2^2$ making a 2 come out of the root.

$6\sqrt{2^2*5}\\ 6*2\sqrt{5}\\ 12\sqrt{5}$

We can't keep simplifying the root.