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

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Answer 1 · 2016-06-06T16:33:57

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 $8.1$ .

Square root of 6565 lies between which two numbers (not more than one decimal point)?