Question

find the smallest number by which 4851 must be multiplied so that the product become a perfect square

Answer 1

First find factor of 4851
4851=3×1617
=3×3×539
=3×3×7×77
=3×3×7×7×11
frame pairs of factors which number left behind is your answer means here answer is 11

Answer 2

given no - 4851 expressing it into prime factors , we have. 4851 = 3×3×7×7×11 we can see that 11 is left unpaired . to make 4851 a perfect square , 11 should be paired . so the smallest no which is multiplied by 4851 to make it a perfect square is 11. therefore 4851 × 11 = 3×3×7×7×11×11 . 4851 ×11 = 53361 is a perfect square . hence , the smallest multiple of 4851 which is a perfect sq = 53361 . and √53361 = 231 . hence , the sq root of new no is 231.