Question

which expression is equivalent to the radical expression shown below when it is simplified?
$\sqrt{ \frac{3}{64} }$
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Answer 1

Answer:

$\sqrt{\frac{3}{64} }$ in simplified form is $\frac{\sqrt{3}}{8}$

Step-by-step explanation:

We need to solve the expression

$\sqrt{\frac{3}{64} }$

We know that $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$

and 64 = 8*8

Solving we get

$=\frac{\sqrt{3}}{\sqrt{64}}\\=\frac{\sqrt{3}}{\sqrt{8*8}}\\=\frac{\sqrt{3}}{\sqrt{8^2}}\\=\frac{\sqrt{3}}{8}$

So $\sqrt{\frac{3}{64} }$ in simplified form is $\frac{\sqrt{3}}{8}$