Question

which of the following is a square number :1)24 2)16​

Answer 1

Answer:

$2) \: 16 \: is \: the \: square \: number \: of \: 4.$

Answer 2

Answer:

on prime factorising both numbers,

24=2x2x2x3

so, sqrt of 24= 2xroot6

now,

16= 2x2x2x2

so, sqrt of 16= 4

so, as sqrt of 24 has an irrational factor, (i.e. root6) its an 'imperfect square' and as sqrt of 16 has no irrational factors, its a 'perfect square'

ohaiyo!