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If sqrt(a)> sqrt(b) > sqrt(c) >sqrt(d) ...

If ` sqrt(a)> sqrt(b) > sqrt(c) >sqrt(d)` where a, b, c and d are consecutive natural numbers then which of the following is correct (1) `sqrt(a)-sqrt(b) >sqrt(c)-sqrt(d)` (2) `sqrt (c)-sqrt(d)`>`sqrt(a)-sqrt(b)` (3) `sqrt(a)-sqrt(c)>sqrt(b)-sqrt(d)` (4) `sqrt(c)-sqrt(d) =sqrt(a)-sqrt(b)`

Text Solution

Verified by Experts

`sqrta>sqrtb>sqrtc>sqrtd`
n+3,n+2,n+1,n
`sqrtc-sqrtd>sqrta-sqrtb`
`sqrtb-sqrtd>sqrta-sqrtc`.
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