Question

√6
$\div$
√3-√7
​

Answer 1

$\large{ \frac{\sqrt{6}}{\sqrt{3} - \sqrt{7}}}$

$= \large{ \frac{\sqrt{6}}{\sqrt{3} - \sqrt{7}} ×\frac{\sqrt{3} + \sqrt{7}}{\sqrt{3} + \sqrt{7}}}$

$= \large {\frac{\sqrt{6}(\sqrt {3}+ \sqrt{7})}{(\sqrt{3})² - (\sqrt{7})²}}$

$= \large {\frac{\sqrt{18} + \sqrt{42}}{3-7}}$

$= \large{\frac{\sqrt{18} + \sqrt{42}}{-4}}$

$= \large{\frac{- \sqrt{18} - \sqrt{42}}{4}}$