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Write the next of the AP sqrt(8), sqrt(1...

Write the next of the AP `sqrt(8), sqrt(18), sqrt(32),…`

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(50)`

Given terms are `sqrt(4 xx2), sqrt(9 xx 2), sqrt(16 xx 2),…, i.e., 2sqrt(2), 3sqrt(2), 4sqrt(2),…`
So, the next term is `5sqrt(2) = sqrt(5 xx 5 xx 2) = sqrt(50)`
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