express $\displaystyle \sqrt{22.5} $ in the form $\displaystyle K\sqrt{10} $

I dont get how to do this, can some one show me? Thanks.

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- May 29th 2009, 08:17 AMTweetysurd algebra help
express $\displaystyle \sqrt{22.5} $ in the form $\displaystyle K\sqrt{10} $

I dont get how to do this, can some one show me? Thanks. - May 29th 2009, 08:25 AMe^(i*pi)
- May 29th 2009, 08:26 AMDeadstar
$\displaystyle \sqrt{22.5} = \sqrt{2.25 \cdot 10} = \sqrt{2.25} \cdot \sqrt{10}$

So $\displaystyle K=\sqrt{2.25} = \frac{3}{2}$ - May 29th 2009, 08:30 AMmasters
- May 29th 2009, 08:30 AMTweety
the correct answer is $\displaystyle \frac{3}{2}\sqrt{10} $

edit; oh right I get it now, thanks! - May 29th 2009, 08:35 AMe^(i*pi)