Question

evaluate (1/3-√8)+(1/√7-√6)+(1/√5-1)-(1/√8-√7)-(1/√6-√5)
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Answer 1

Answer:

$\frac{1}{3 - \sqrt{8} } + \frac{1}{ \sqrt{7} - \sqrt{6} } + \frac{1}{ \sqrt{5} - 2} - \frac{1}{ \sqrt{8} - \sqrt{7} } - \frac{1}{ \sqrt{6} - \sqrt{5} } = 3 + \sqrt{8} + \sqrt{7} + \sqrt{6} + \sqrt{5} + 2 - \sqrt{8} - \sqrt{7} - \sqrt{6} - \sqrt{5} = 3 + 2 = 5 \: \: ans.$