11*sqrt48

Question
Exponents and radicals
asked 2021-01-08
\(\displaystyle{11}\cdot\sqrt{{48}}\)

Answers (1)

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
0

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