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Completely simplify and rationalize the denominator: $$\frac{\sqrt{160}}{\sqrt{252}}\times\frac{\sqrt{245}}{\sqrt{360}}$$

 Nov 17, 2021
 #1
avatar+115391 
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Hint:  

Think about 160,  an obvious square number that goes into 160 is 16.  So you can do this.

 

\(\sqrt{160}=\sqrt{16*10}=\sqrt{16}*\sqrt{10}=4\sqrt{10}\)

 

Now simplify all the other squareroots yourself and then get back to us. 

 Nov 18, 2021
 #2
avatar+391 
+1

Hi Melody,

 

\( \sqrt{160}=\sqrt{16*10}=\sqrt{16}*\sqrt{10}=4\sqrt{10}\)

\(\sqrt{245}=\sqrt{49*5}=\sqrt{49}*\sqrt{5}=7\sqrt{5}\)

\(\sqrt{252}=\sqrt{36*7}=\sqrt{36}*\sqrt{7}=6\sqrt{7}\)

\(\sqrt{360}=\sqrt{36*10}=\sqrt{36}*\sqrt{10}=6\sqrt{10}\)

 

Now Guest can do it from here.

 

Hope that was helpful.^^

 

Straight

Straight  Nov 20, 2021
edited by Straight  Nov 20, 2021

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