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multiply. (sqrt{7}(sqrt{2}-9)) simplify your answer as much as possible.

Question

multiply. (sqrt{7}(sqrt{2}-9)) simplify your answer as much as possible.

Explanation:

Step1: Apply distributive property

$\sqrt{7}(\sqrt{2}-9)=\sqrt{7}\times\sqrt{2}-\sqrt{7}\times9$

Step2: Multiply square - roots

$\sqrt{7}\times\sqrt{2}=\sqrt{7\times2}=\sqrt{14}$ and $\sqrt{7}\times9 = 9\sqrt{7}$

Answer:

$\sqrt{14}-9\sqrt{7}$