Square root of #65# lies between which two numbers (not more than one decimal point)?

1 Answer
Shwetank Mauria
Jun 6, 2016

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

Explanation:

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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