Question

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subtract. write your answer in simplest form.
-8√54 - 7√6

Explanation:

Step1: Simplify $\sqrt{54}$

$\sqrt{54} = \sqrt{9 \times 6} = \sqrt{9} \times \sqrt{6} = 3\sqrt{6}$

Step2: Substitute back into expression

$-8 \times 3\sqrt{6} - 7\sqrt{6} = -24\sqrt{6} - 7\sqrt{6}$

Step3: Combine like radical terms

$-24\sqrt{6} - 7\sqrt{6} = (-24 - 7)\sqrt{6} = -31\sqrt{6}$

Answer:

$-31\sqrt{6}$