Question

Please tell me the answer to this question.... please with explanation... I need help​

Answer 1

Answer:

a is correct answer

mark as brainliest it took lot of time

Answer 2

⏺️First rationalise each term .

$\frac{1}{1 + \sqrt{2} } \times \frac{1 - \sqrt{2} }{1 - \sqrt{2} } = \frac{1 - \sqrt{2} }{ - 1} = (\sqrt{2} - 1)$

Similarly ,

$\frac{1}{ \sqrt{2} + \sqrt{3} } = (\sqrt{3} - \sqrt{2} )$

Thus,

The question becomes as follows :-

$\sqrt{2} - 1 + \sqrt{3} - \sqrt{2} + \sqrt{4} - \sqrt{3} + \sqrt{5} - \sqrt{4} + \sqrt{6} - \sqrt{5} + \sqrt{7} - \sqrt{6} + \sqrt{8} - \sqrt{7} + \sqrt{9} - \sqrt{8} \\ \\ = 3 - 1 \\ = 2$