Question

Find the least number which must be added to 5400 to make it a perfect square. ​

Answer 1

5400 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5. There are three 2’s, three 3’s and two 5’s.

5400 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5. There are three 2’s, three 3’s and two 5’s.Since the factors should be in pairs, we have to multiply 5400 by 2 x 3 = 6. We get 32400 which is the square of 180.

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Mark Brilliant