Question

What is the smallest counting (n) number that would make 756n a perfect square?

Answer 1

`756 xx color(green)(21) = color(blue)(15876`

`sqrt15876 = 126`

Explanation:

`756 = (2 .2) . (3 .3) .(3) .(7)`

As we can observe `756` is short of the number
`color(blue)(3 . 7 =21` for perfect square.

So, `color(blue)(756 . 21 = 15876`

`15876` is a perfect square.

`756 . 21 = color(blue)(15876`

`sqrt15876 = 126`