Question

Simplify: $\frac{2\sqrt{30}}{\sqrt{6}}-\frac{3\sqrt{140}}{\sqrt{28}}+\frac{\sqrt{275}}{\sqrt{55}}$

Answer 1

$\frac{2\sqrt{30}}{\sqrt{6}}$ - $\frac{3\sqrt{140}}{\sqrt{28}}$ + $\frac{275}{\sqrt{55}}$

$=\frac{2\sqrt{2\times 3\times 5}}{\sqrt{2\times 3}}-\frac{3\sqrt{2\times 2\times 5\times 7}}{\sqrt{2\times 2\times 7}}+\frac{\sqrt{5\times 5\times 11}}{\sqrt{5\times 11}}$

$=2\sqrt{5}-3\sqrt{5}+\sqrt{5}$

$=3\sqrt{5}-3\sqrt{5}$

$=0$