Simplify $\frac{6}{2 \sqrt{3} - \sqrt{6}} + \frac{\sqrt{6}}{\sqrt{3} + \sqrt{2}} - \frac{4 \sqrt{3}}{\sqrt{6} - \sqrt{2}}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 0
$\frac{6}{2 \sqrt{3} - \sqrt{6}} + \frac{\sqrt{6}}{\sqrt{3} + \sqrt{2}} - \frac{4 \sqrt{3}}{\sqrt{6} - \sqrt{2}}$
Or $\frac{6 (2 \sqrt{3} + \sqrt{6})}{12 - 6} + \frac{\sqrt{6} (\sqrt{3} - \sqrt{2})}{3 - 2} - \frac{4 \sqrt{3} (\sqrt{6} + \sqrt{2})}{6 - 2}$
Or $\frac{6 (2 \sqrt{3} + \sqrt{6})}{6} + \frac{\sqrt{6} (\sqrt{3} - \sqrt{2})}{1} - \frac{4 \sqrt{3} (\sqrt{6} + \sqrt{2})}{4}$
Or $(2 \sqrt{3} + \sqrt{6}) + \sqrt{6} (\sqrt{3} - \sqrt{2}) - \sqrt{3} (\sqrt{6} + \sqrt{2})$
Or $2 \sqrt{3} + \sqrt{3} \sqrt{2} + \sqrt{3} \sqrt{2} \sqrt{3} - \sqrt{2} \sqrt{3} \sqrt{2} - \sqrt{3} \sqrt{3} \sqrt{2} - \sqrt{3} \sqrt{2}$
Or $2 \sqrt{3} + \sqrt{3} \sqrt{2} + 3 \sqrt{2} - 2 \sqrt{3} - 3 \sqrt{2} - \sqrt{3} \sqrt{2} = 0$

Suggest Corrections

Similar questions

Simplify: $\frac{6}{2 \sqrt{3} - \sqrt{6}} + \frac{\sqrt{6}}{\sqrt{3} + \sqrt{2}} - \frac{4 \sqrt{3}}{\sqrt{6} - \sqrt{2}}$

Simplify 6/2√3-√6+√6/√3+√2-4√3/√6-√2

\frac{6}{2 \sqrt{3} - \sqrt{6}} + \frac{\sqrt{6}}{\sqrt{3} + \sqrt{2}} - \frac{4 \sqrt{3}}{\sqrt{6} - \sqrt{2}}

\frac{18 \sqrt{3}}{12 - 6 \sqrt{2}} + \frac{3 \sqrt{2} - 2 \sqrt{3}}{8 - \sqrt{6}} - \frac{12 \sqrt{2} + 4 \sqrt{6}}{8 - \sqrt{12}}

\frac{\sqrt{6}}{\sqrt{2} - \sqrt{3}} + \frac{3 \sqrt{2}}{\sqrt{6} + \sqrt{3}} - \frac{4 \sqrt{3}}{\sqrt{6} + \sqrt{2}}

Join BYJU'S Learning Program