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# Square root help

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What is the square root of 270.4 divided by 10?

Guest Mar 5, 2017
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#1
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1.6444

Guest Mar 5, 2017
#2
+4753
+1

If you want an exact answer it is:

$$\frac{26\sqrt{10}}{5}$$

This is how I got it:

$$\sqrt{270.4}=\sqrt{\frac{1352}{5}} \\ = \frac{\sqrt{1352}}{\sqrt{5}} \\ = \frac{26\sqrt{2}}{\sqrt{5}} \\ = \frac{26\sqrt{2}(\sqrt{5})}{\sqrt{5}(\sqrt{5})} \\ = \frac{26\sqrt{10}}{5}$$

hectictar  Mar 5, 2017
#3
+4753
+1

I just realized that you might have meant:

$$\sqrt{\frac{270.4}{10}} \\~\\ = \sqrt{\frac{676}{25}} \\~\\ = \frac{\sqrt{676}}{\sqrt{25}} \\~\\ = \frac{26}{5}$$

Which comes out to a nice even 5.2, so that is possibly what you meant.

hectictar  Mar 5, 2017

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