Question

Rationalize the denominator and simplify.
7
3

Answer 1

Answer:

$\frac{\sqrt{21}}{3}$ is the answer.

Step-by-step explanation:

To rationalize the denominator of $\sqrt{\frac{7}{3}}$ we will remove the square root or cube root from the denominator.

For which we multiply with the same value given in the denominator to numerator and denominator both.

$\sqrt{\frac{7}{3}}=\frac{\sqrt{7} }{\sqrt{3} }$

$\frac{\sqrt{7}}{\sqrt{3}}=\frac{\sqrt{7}}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3}}$

    $=\frac{\sqrt{7\times 3}}{(\sqrt{3})^2}$

    $=\frac{\sqrt{21}}{3}$

$\frac{\sqrt{21}}{3}$ is the rationalized form.

Therefore, $\frac{\sqrt{21}}{3}$ will be the answer.