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Write the next of the AP sqrt(2), sqrt(8...

Write the next of the AP `sqrt(2), sqrt(8), sqrt(18),…`

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(32)`
Given terms are `sqrt(2), sqrt(4 xx 2), sqrt(9 xx 2),…, i.e., sqrt(2), 2sqrt(2), 3sqrt(2),…`
The next term is `4sqrt(2) = sqrt(4 xx 4 xx2) = sqrt(32).`
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