What is an exact solution for m √(14) ​

Question

What is an exact solution for

`m √(14)`
​

Answer 1

Answer: Choice B)
`√(14)`

We have some value m and we're squaring it to get
`m^2`

To undo this and isolate m, we apply the square root to both sides

`m^2 = 14\\\\√(m^2) = √(14)\\\\|m| = √(14)\\\\m = √(14) \text{ or } m = -√(14)`

There are two solutions here. This is similar to how there are two solutions in something like
`x^2 = 25` (those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because

negative times negative = positive.