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# need help

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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
+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
+391
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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.