Question 735358
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Rationalize 2 divided by 1 minus the square root of 2.
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<pre>
{{{2/(1-sqrt(2))}}} = {{{(2/(1-sqrt(2)))*((1+sqrt(2))/(1+sqrt(2)))}}}.



In the numerator, you have  {{{2*(1+sqrt(2))}}} = {{{2+2*sqrt(2)}}}.


In the denominator, you have  {{{(1-sqrt(2))*(1+sqrt(2))}}} = 1 - 2 = -1.


Therefore, the original fraction  {{{2/(1-sqrt(2))}}}  is   {{{-2-2sqrt(2)}}}.   <U>ANSWER</U>
</pre>

Solved.


Ignore the post by @lynnlo, since it is INCORRECT.