Question

How many natural number lie between the squares of 31 and 32?

Answer 1

$Between \: n^{2}\: and\: (n+1)^{2} \:have \:2n \:number \\\\\\means\\\\n= 31\\\\n+1=32 \\\\\\So, \:b/w\: 31^{2} \:and \:32^{2}\: there\: is \:2n \:means \:2×31 numbers \\\\Total \:numbers= 31×2 =\:62 \:numbers \\\\ \underline {Answer}\\\\\boxed{\implies 62}$