Question

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add. write your answer in simplest form.
$-4\sqrt{6} + 3\sqrt{24}$

Explanation:

Step1: Simplify $\sqrt{24}$

$\sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6} = 2\sqrt{6}$

Step2: Substitute back into expression

$-4\sqrt{6} + 3 \times 2\sqrt{6} = -4\sqrt{6} + 6\sqrt{6}$

Step3: Combine like radical terms

$(-4 + 6)\sqrt{6} = 2\sqrt{6}$

Answer:

$2\sqrt{6}$