+0  
 
0
78
1
avatar

3

over

1 - sqrt of 2

 

Plz work out the steps

 

Don't do the sqrt of 2 on a calculator to where u get a decimal!!

Guest Apr 10, 2017
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1+0 Answers

 #1
avatar+4152 
+3

\(\frac{3}{1-\sqrt2}\)

 

Multiply the numerator and denominator by the conjugate of the denominator.

\(=\frac{3}{1-\sqrt2}\cdot\frac{1+\sqrt2}{1+\sqrt2} \\~\\ =\frac{3+3\sqrt2}{1+\sqrt2-\sqrt2-2} \\~\\ =\frac{3+3\sqrt2}{-1} \\~\\ =-3-3\sqrt2\)

 

And that is approximately -7.243

hectictar  Apr 10, 2017

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