Question

Find the smallest positive integer with which one has to multiply each of the following numbers to get a perfect square 847 and 1445

Answer 1

Answer:

Answer :

(i) 847

847 = 7 × 11 × 11

847 = 7× 11 × 11 × 7

Hence required integer is 7

(ii) 450

450 = 5 × 5 × 6 × 3

450 = 5 × 5 × 6 × 3 × 2

Hence required integer is 2

(iii) 1445

1445 = 5 × 17 × 17

1445 = 5 × 17 × 17 × 5

Hence required integer is 5

(iv) 1352

1352 = 2 ×2 × 2 ×13 × 13

1352 = 2 ×2 × 2 ×13 × 13 × 2

Hence required integer is 2