Question

If the value of $\sqrt{2}$ and $\sqrt{3}$ is 1.4 and 1.7 respectively, find the value of $\frac{2(\sqrt{3}+\sqrt{2})}{\sqrt{3}-\sqrt{2}}$

• A. $20.\overline{66}$
• B. $21.\overline{66}$
• C. $19.\overline{66}$
• D. $10.\overline{66}$

Answer 1

The correct option is A

$20.\overline{66}$

The value can be found by substituting the given values in $\frac{2(\sqrt{3}+\sqrt{2})}{\sqrt{3}-\sqrt{2}}$

$=\frac{2(1.7+1.4)}{1.7-1.4}$

$=\frac{6.2}{0.3}$

$=20.\overline{66}$