How do you simplify $\frac{\sqrt{3}}{\sqrt{108}}$ $sqrt3 /sqrt108$ ?

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Answer 1 · 2018-07-26T08:41:28

$\frac{1}{6}$ $1/6$

$\sqrt{108} = \sqrt{36 \times 3} = \sqrt{36} \times \sqrt{3} = 6 \sqrt{3}$ $sqrt108=sqrt(36times3)=sqrt36 times sqrt3=6sqrt3$

$sqrt3/sqrt108=cancel (sqrt3)/(6cancelsqrt3)=1/6$

How do you simplify sqrt3 /sqrt108√3√108sqrt3 /sqrt108?