Question

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add. write your answer in simplest form.
-5√33 + 7√132

Explanation:

Step1: Simplify $\sqrt{132}$

Factor 132 into $4 \times 33$, so $\sqrt{132} = \sqrt{4 \times 33} = \sqrt{4} \times \sqrt{33} = 2\sqrt{33}$

Step2: Substitute back into expression

$-5\sqrt{33} + 7 \times 2\sqrt{33} = -5\sqrt{33} + 14\sqrt{33}$

Step3: Combine like terms

$(-5 + 14)\sqrt{33} = 9\sqrt{33}$

Answer:

$9\sqrt{33}$