# 11*sqrt48

Question
$$\displaystyle{11}\cdot\sqrt{{48}}$$

2021-01-09
$$\displaystyle{11}\cdot\sqrt{{48}}={11}\sqrt{{{16}\cdot{3}}}$$ Rewrite 48 as a product.
$$\displaystyle={11}\cdot\sqrt{{16}}\cdot\sqrt{{3}}$$ Use the rule $$\displaystyle\sqrt{{x}}{y}=\sqrt{{x}}\cdot\sqrt{{y}}$$
$$\displaystyle={11}\cdot{4}\cdot\sqrt{{3}}$$ Evaluate sqrt16=4
$$\displaystyle={44}\sqrt{{3}}$$ Multiply

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