Question

How do you solve `sqrt(4n^2) = 1/3`?

Answer 1

`n = 1/(6)`

Explanation:

Square both sides: `4n^2 = 1/9`

Divide throughout by 4: `n^2 = 1/(36)`

Square root both sides: `n = +- sqrt(1/(36))`

Solution: `n = +- 1/6`

Comment: `(-n)(-n) = (+n)(+n) = n^2` so you have to have both a positive and negative solution.