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The value of/का मान है (1)/(sqrt7...

The value of/का मान है
`(1)/(sqrt7 - sqrt6) - (1)/(sqrt6 - sqrt5) + (1)/(sqrt5 - 2) - (1)/(sqrt8 - sqrt7 ) + (1)/(3 - sqrt8)`

A

7

B

1

C

0

D

5

Text Solution

Verified by Experts

The correct Answer is:
D

`(1)/(sqrt7 - sqrt6) - (1)/(sqrt6 - sqrt5) + (1)/(sqrt5 - sqrt2) - (1)/(sqrt8 - sqrt7) + (1)/(3 - sqrt8)`
` = sqrt7 + sqrt6 - (sqrt6 + sqrt5) + sqrt5 + 2 - (sqrt8 + sqrt7) + 3 + sqrt8 = 2 + 3 = 5`
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