The closest square number near 50730 is 50625 = 225^2 50730-50625 = 105 is the least number that can be subtracted to get a perfect square.
What least number must be subtracted from 1739 so that the resulting number when divided by 6, 10 and 12 will leave in each case the same reminder 5?
Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube. Hence find the cube root of the quotient so obtained.
