Question

rationalise denominator of root8 divided by (3 root6)-(5 root2)

Answer 1

Answer:

$\frac{\sqrt{8}}{3\sqrt{6}-5\sqrt{2} } \\ \\\implies \frac{(\sqrt{8})(3\sqrt{6}+5\sqrt{2})}{(3\sqrt{6}-5\sqrt{2})(3\sqrt{6}+5\sqrt{2})}\\\\\implies \frac{(\sqrt{8})(3\sqrt{6}+5\sqrt{2})}{(3\sqrt{6}) ^{2}-(5\sqrt{2})^2 }\\\\\implies \frac{(2\sqrt{2})(3\sqrt{6}+5\sqrt{2})}{54-50}\\\\\implies \frac{(2\sqrt{2})(3\sqrt{6}+5\sqrt{2})}{-4}\\\\\implies \bold{\boxed{-\frac{(\sqrt{2})(3\sqrt{6}+5\sqrt{2})}{2}}}$