Question

By what small number 1008 must be divided so that the quotient is a perfect square.Find the square number so obtained and the square root of that number

Answer 1

1008=2*2*2*2*3*3*7

so it should be divided by 7 to make it a perfect square.

no. obtained=1008/7=144

$\sqrt504$=2*2*3=12