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NikAS [45]
2 years ago
11

Simplify the square root of 32/5

Mathematics
1 answer:
elixir [45]2 years ago
3 0
Remember \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} }
and
\sqrt{ab^2} =b \sqrt{a}
\sqrt{ \frac{32}{5} } = \frac{ \sqrt{(4^2)(2)} }{ \sqrt{5} } = \frac{ 4\sqrt{2} }{ \sqrt{5} }
times whoe thing by \frac{ \sqrt{5} }{ \sqrt{5} }
\frac{4 \sqrt{10} }{5}


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