Standing Waves Tension and wavelength

1. The problem statement, all variables and given/known data

Please see the picture.

2. Relevant equations

How do they get this derivation?

3. The attempt at a solution

I know that lambda = 2L/n and f = nV/2L so I can somewhat rearrange it myself, but I do not know where the square root is coming from.

Attached Images
File Type: png Screen Shot 2014-02-11 at 12.12.58 AM.png (54.4 KB)

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