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how to simplify sqrt(320)?

 Mar 11, 2015

Best Answer 

 #1
avatar+118613 
+5

You look for a square number that goes into 320.

I see 16

 

$$\\\sqrt{320}=\sqrt{16}\times \sqrt 20\\\\
\sqrt{320}=4\times \sqrt {20}\\\\
\sqrt{320}=4\times\sqrt{4}\times \sqrt 5\\\\
\sqrt{320}=4\times 2\times \sqrt 5\\\\
\sqrt{320}=8 \sqrt 5\\\\$$

 Mar 12, 2015
 #1
avatar+118613 
+5
Best Answer

You look for a square number that goes into 320.

I see 16

 

$$\\\sqrt{320}=\sqrt{16}\times \sqrt 20\\\\
\sqrt{320}=4\times \sqrt {20}\\\\
\sqrt{320}=4\times\sqrt{4}\times \sqrt 5\\\\
\sqrt{320}=4\times 2\times \sqrt 5\\\\
\sqrt{320}=8 \sqrt 5\\\\$$

Melody Mar 12, 2015

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