Question

Find the smallest number by which following number must be multiplied so that the product is perfect square.

a)126​

Answer 1

Answer:

2

Step-by-step explanation:

it is written 2^7 so on multiplying by 2 we get 2^8 which is square of 16

BRAINLIEST BRAINLIEST

Answer 2

Answer:

14

Step-by-step explanation:

on doing prime factorization of 126 we get

2×3×3×7

Here, there is a pair of 3 in multiplication, while pairs of 2 and 7 are missing. If we complete the pair by multiplying above result with 2 and 7 we get

(2×2)×3×3×(7×7) = 1764

which is a perfect square of 42

Thus least number to be multiplied comes from multiplying 2 and 7 since we used them to make 126 a complete square

Hence 14 is the correct answer.