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QUESTION

between which to values is the square root of 65?

Square root of ##65## lies between ##8.0## and ##8.1##.

Squares of natural numbers are ##{1,4,9,16,25,36,49,64,81,...}##, which are squares of ##{1,2,3,4,5,6,7,8,9,....}##

As ##65## lies between ##64## and ##81##, square root of ##65## lies between ##8## and ##9##

Further, ##8.1^2=65.61## and as ##8.0^2=64##, square root of ##65## lies between ##8.0## and ##8.1##.

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