Rationalize the denominator of the following expression:
$\frac{2}{\sqrt{7} - \sqrt{3}}$

Open in App

Solution

Multiplying and Dividing the given expression by $\sqrt{7} + \sqrt{3}$ :

$\frac{2}{\sqrt{7} - \sqrt{3}}$ $= \frac{2}{\sqrt{7} - \sqrt{3}} \times \frac{\sqrt{7} + \sqrt{3}}{\sqrt{7} + \sqrt{3}}$

$= \frac{2 \sqrt{7} + 2 \sqrt{3}}{4}$

$= \frac{\sqrt{7} + \sqrt{3}}{2}$

Suggest Corrections

Similar questions

\frac{1}{3 + \sqrt{2}}

\frac{1}{\sqrt{7} - \sqrt{6}}

\frac{1}{\sqrt{7}}

\frac{3}{- \sqrt{7} - \sqrt{9}}

\frac{3}{2 \sqrt{7}}

\frac{1}{2 \sqrt{7} + 3 \sqrt{3}}

\frac{4}{2 + \sqrt{3} + \sqrt{7}}

Join BYJU'S Learning Program