Question

Simplify the square root of 864.
I cant remember this, please tell me how you got the answer.

Answer 1

$\sqrt{864}$
$\sqrt{4 \times 216}$
$\sqrt{4 \times 4 \times 54}$
$\sqrt{4 \times 4 \times 2 \times 27}$
$\sqrt{4 \times 4 \times 2 \times 9 \times 3}$
now take out the pairs.
$4 \sqrt{2 \times 9 \times 3}$
take out any of the square roots like 9
$4 \times 3 \sqrt{2 \times 3}$
Now put it all back together.
$12 \sqrt{6}$
I believe that is the answer.