Q13 of 119 Page 50

Find the smallest number by which 252 must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained.

Resolving 252 into prime factors, we get

252 = 2 × 2 × 3 × 3 × 7


Thus, the 253 must be multiplied by 7 in order to get a perfect square


Therefore,


New number = 252 × 7 = 1764


Hence,


= 2 × 3 × 7


= 42


More from this chapter

All 119 →
11

Find the square root of each of the following numbers by using the method of prime factorization:

15876

 12

Find the square root of each of the following numbers by using the method of prime factorization:

17424

 14

Find the smallest number by which 2925 must be divided to obtain a perfect square. Also, find the square root of the perfect square so obtained.

 15

1225 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.