Question

For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square. Also find the square root of the square number so obtained.(i) 252                 (ii) 2925                  (iii) 396               (iv) 2645(v) 2800              (vi) 1620

Answer 1

1)LCM(252)=2*2*3*3*7
after dividing by 7 this can be a perfect square
`sqrt36=6`
2)LCM(2925)=5*5*3*3*13
after dividing by 13 this can be a perfect square
`sqrt225=15`
4)LCM(2645)=5*23*23
after dividing by 5 this can be a perfect square
`sqrt529=23`
5)LCM(2800)=2*2*2*2*5*5*7
after dividing by 7 this can be a perfect square
`sqrt324=18`