Question

Find the smallest number by which 7436 must be multiplied to make it a perfect square

Answer 1

2 | 7436
2 | 3718
11 | 1859
13 | 169
13 | 13
| 1

7436 = 2×2×11×13×13

here 11 is not in pair
so, 7436 is multiplied by 11 then it is a perfect square.
Answer - 11

Answer 2

Answer:

First of all, taking L.C.M of the given number 7436 to achieve smallest number.

7436 = 2*2*11*13*13

So after calculating the L.C.M of 7436, we've noticed that 2 & 13 are in pairs and the number 11 is the only unpaired number. So multiplying the number 7436 with 11, we'll get;

7436*11 = 2*2*11*11*13*13

81,796 = 2*2*11*11*13*13

which is a perfect square.

So the required number to make 7436 a perfect square is 11.