Question

Solve for m.

4m2n=49



m=±7n√2n
m=±7n√2n
m=±7n√2
m=±7n√2

Answer 1

`m =`±
`(7√(n))/(2n)`

Explanation:

We have the following expression:
`4m^(2)n = 49` and we need to solve it for 'm'. Above the steps:

`4m^(2)n = 49` ⇒
`m^(2) = (49)/(4n)`

Taking the square rooth of both sides:

`m = \sqrt{(49)/(4n)}` ⇒
`m = (7)/(2√(n))`

⇒
`m =`±
`(7√(n))/(2n)`

Then, the result is:
`m =`±
`(7√(n))/(2n)`