Question

I need to simplify this

Answer 1

Hi there!

$3 \sqrt{54} + 2 \sqrt{24} =$
First we split up the square root into two parts.

$3 \times \sqrt{9} \times \sqrt{6} + 2 \times \sqrt{4} \times \sqrt{6} =$
Now we calculate the value of the square roots which have an integer as a solution

$3 \times 3 \times \sqrt{6} + 2 \times 2 \times \sqrt{6} =$
Multiplying the integers gives us our next step.

$9 \sqrt{6} + 4 \sqrt{6} =$
And finally we add up the roots.

$13 \sqrt{6}$