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The quantity sqrt(45) + 2*sqrt(5) + sqrt(360)/sqrt(2) can be expressed as sqrtN, where N is an integer. Find N.

 Jan 26, 2022
 #1
avatar+360 
+1

\(\sqrt{45}+2\sqrt5+\frac{\sqrt{360}}{\sqrt2}\)

\(3\sqrt5+2\sqrt5+\frac{\sqrt{360}}{\sqrt2}\)

\(3\sqrt{5}+2\sqrt{5}+6\sqrt{5}\)

\(11\sqrt{5}\)

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 Jan 26, 2022
 #2
avatar+516 
+2

To simplify:

 

3sqrt5 + 2sqrt(5) + 6sqrt(5) = 11 sqrt5 so the answer is 11sqrt(5)

 Jan 26, 2022

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