Hi there!
[tex]3 \sqrt{54} + 2 \sqrt{24} = [/tex]
First we split up the square root into two parts.
[tex]3 \times \sqrt{9} \times \sqrt{6} + 2 \times \sqrt{4} \times \sqrt{6} = [/tex]
Now we calculate the value of the square roots which have an integer as a solution
[tex]3 \times 3 \times \sqrt{6} + 2 \times 2 \times \sqrt{6} = [/tex]
Multiplying the integers gives us our next step.
[tex]9 \sqrt{6} + 4 \sqrt{6} = [/tex]
And finally we add up the roots.
[tex]13 \sqrt{6} [/tex]