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0
110
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Can anyone help? (please explain) I need it asap!

 Jan 2, 2021
 #1
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0

I'm getting an answer of 11/5.

 Jan 2, 2021
 #2
avatar+112823 
+1

Ignore the biggest square root till the end

 

Simplify each term on the numerator separately like this.

 

\(\frac{5}{\sqrt{80}}=\frac{5}{\sqrt{16*5}}=\frac{5}{4\sqrt{5}}\)

 

etc

 

Now you need to rationalize the denominator so multiply every term, top and bottom by   sqrt5

 

Keep going from there.   It all falls out quite nicely.

 Jan 3, 2021
 #3
avatar+112823 
+1

OR alternatively ....

 

rationalize the denominator first by multiplying top and bottom by sqrt5

 

\(\sqrt{\frac{\frac{5}{\sqrt{80}}*\sqrt5+\frac{\sqrt{845}}{9}*\sqrt{5}+\sqrt{45}*\sqrt5}{\sqrt5*\sqrt5}}\\ \sqrt{\frac{\frac{5}{\sqrt{16}}+\frac{\sqrt{5*169}}{9}*\sqrt{5}+\sqrt{5*9}*\sqrt5}{5}}\\\)

 

etc

 Jan 3, 2021

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