Question

The value $\left(\frac{1}{\sqrt{27}}\right)$ is equal to

• A. $\frac{2\sqrt{2}}{27}$
• B. $\frac{\sqrt{3}}{9}$
• C. $\frac{4\sqrt{2}}{9}$
• D. $\frac{\sqrt{9}}{3}$

Answer 1

The correct option is B $\frac{\sqrt{3}}{9}$

Given,

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

$=\frac{1}{3\sqrt{3}}$

multiple and divide by $\sqrt{3}$

$=\frac{1\cdot \sqrt{3}}{3\sqrt{3}\sqrt{3}}$

$=\frac{\sqrt{3}}{9}$