I'm very rusty... it's been a few years since I've touched radicals and algebra. I had to solve for $k$ in the course of a Physics problem, and I realized I didn't remember how to do this.
$$10=\sqrt{\frac k {0.05}}$$
So I went to Wolfram Alpha and checked the steps. The result was given as 5, but I was confused by this step:
$$10=4.47214 \sqrt k$$
I'm confused by where 4.47214 came from.
Sorry if this is too basic for this forum. I might be missing something that is glaringly obvious...
Well $1/0.05 = 1/(1/20) = 20$ and so $\sqrt{k/0.05} = \sqrt{20k} = \sqrt{20}\cdot \sqrt{k}$.