Question

Find the smallest positive integer, n,such that 168n is a square number.​

Answer 1

Answer:

Step-by-step explanation:

168=2^3*3*7

Therefore n=42

Answer 2

n as a smallest integer should be 84 such that 168n is a square number

1) We can find the answer by forming perfect pairs of the factors of 168.

2) 168 can be written in the form of its factors as:- 2*2*2*3*7

3) Since, a square number has perfect pairs of factors.

4) Hence, the number that needs to be added are 2*3*7.

5) So, n would be 42 and the resulting number would be  7056 which is square of 84