Question

7√3/√10+√3-2√5/√6+√5-3√2/√15+3√2​

Answer 1

Step-by-step explanation:

$7\cdot \frac{\sqrt{3}}{\sqrt{1}}\cdot \:0+\sqrt{3}-2\cdot \frac{\sqrt{5}}{\sqrt{6}}+\sqrt{5}-3\cdot \frac{\sqrt{2}}{\sqrt{1}}\cdot \:5+3\sqrt{2}$

$=7\cdot \:0\cdot \frac{\sqrt{3}}{1}+\sqrt{3}-2\cdot \frac{\sqrt{5}}{\sqrt{6}}+\sqrt{5}-3\cdot \:5\cdot \frac{\sqrt{2}}{1}+3\sqrt{2}$

$=0+\sqrt{3}-2\sqrt{\frac{5}{6}}+\sqrt{5}-15\sqrt{2}+3\sqrt{2}$

$=0+\sqrt{3}-2\sqrt{\frac{5}{6}}+\sqrt{5}-12\sqrt{2}$

=$-2\sqrt{\frac{5}{6}}+\sqrt{3}+\sqrt{5}-12\sqrt{2}$