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Simplify the expression

 

 Mar 25, 2021
 #1
avatar+197 
+2

Hey there!

 

Is any of this question cut off? I am not getting any of these 4 answer?

 

EDIT: nevermind, i'm dumb, give me minute...

 Mar 25, 2021
edited by lhyla02  Mar 25, 2021
 #2
avatar+197 
+2

Here we want to multiply the fraction by its conjugate, thus:

 

\(\frac{10\sqrt{7}}{-1+\sqrt{10}} \times \frac{1+\sqrt{10}}{1+\sqrt{10}}=\frac{10\sqrt{7}(1+\sqrt{10}}{(-1+\sqrt{10})(1+\sqrt{10})}\)

 

expanding the denomenator comes out as 9. after expanding we get the following

 

\(\frac{10\sqrt{7}+10\sqrt{70}}{9}=\frac{-10\sqrt{7}-10\sqrt{70}}{-9}\)

 

I hope this helped :)

 Mar 25, 2021

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