Question

24 numbers lies between the squares of 12 and 13​

Answer 1

Answer:

$= > 12 ^{2} and \: 13 ^{2} \\ = > n ^{2} and \: (n + 1) ^{2} = 2n \\ = > 12 ^{2} \: and \: \: 13^{2} = 2n \\ = > 144\: and \: 169 = 2n \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 12 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 24 \: \: \:(ANSWER) \\ \\ hence \: proved \: that \: 24 \: numbers \: lie \: \\ between \: 12 ^{2} and \: 13 ^{2} ....$

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