Simplify square root of 27* square root of 1/27

$\sqrt{27} \cdot \sqrt{\frac{1}{27}}$

Combine using the product rule for radicals.

$\sqrt{27 \cdot \frac{1}{27}}$

Combine $27$ and $\frac{1}{27}$ .

$\sqrt{\frac{27}{27}}$

Simplify by dividing numbers.

Divide $27$ by $27$ .

$\sqrt{1}$

Any root of $1$ is $1$ .

$1$