Question

Pls solve....
Thanks!

Answer 1

Answer:

11

Step-by-step explanation:

$Rationalize \ \frac{1}{\sqrt{100} - \sqrt{99}}$

$\Rightarrow \frac{1}{\sqrt{100} - \sqrt{99}} * \frac{\sqrt{100} + \sqrt{99}}{\sqrt{100} + \sqrt{99}}$

$\Rightarrow \frac{\sqrt{100} + \sqrt{99}}{\sqrt{100}^2 - \sqrt{99}^2 }$

$\Rightarrow \frac{\sqrt{100} + \sqrt{99}}{100 - 99}$

$\Rightarrow \sqrt{100} + \sqrt{99}$

Likewise, we can rationalize the remaining.

The final answer is 11.

Hope it helps!