Question

Simplify 1/2+√5 + 1/√5+√6 +1/√6+√7 +1/√7+√8​

Answer 1

Answer:

$\frac{1}{2} + \sqrt{5} + \frac{1}{ \sqrt{5} } + \sqrt{6} + \frac{1}{ \sqrt{6} } + \sqrt{7} + \frac{1}{ \sqrt{7} } + \sqrt{8} \\ = \frac{ \sqrt{210} + 10 \sqrt{42} + 2 \sqrt{42} + 12 \sqrt{42} + 2 \sqrt{35} + 14 \sqrt{42} + 2 \sqrt{30} + 4 \sqrt{420} }{2 \sqrt{210} } \\ = \frac{38 \sqrt{42} + 2 \sqrt{30} + 2 \sqrt{35} + \sqrt{210} + 4 \sqrt{420} }{2 \sqrt{210} }$