simplify.\n$\frac{sqrt{6}}{sqrt{54}}$

Explanation:

Step1: Simplify the denominator

We know that $54 = 6\times9$, so $\sqrt{54}=\sqrt{6\times9}=\sqrt{6}\times\sqrt{9} = 3\sqrt{6}$.

Step2: Substitute and simplify the fraction

The original fraction $\frac{\sqrt{6}}{\sqrt{54}}$ becomes $\frac{\sqrt{6}}{3\sqrt{6}}$. The $\sqrt{6}$ terms in the numerator and denominator cancel out, and we get $\frac{1}{3}$.

Answer:

$\frac{1}{3}$