Question 1057035
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Rationalize -(2/sqrt(2-sqrt(3))
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<pre>
{{{-2/sqrt(2-sqrt(3))}}} = {{{-(2*sqrt(2+sqrt(3)))/(sqrt(2-sqrt(3))*sqrt(2+sqrt(3)))}}} = {{{-(2*sqrt(2+sqrt(3)))/sqrt(2^2-(sqrt(3))^2)}}} = {{{-(2*sqrt(2+sqrt(3)))/sqrt(1)}}} = {{{-(2*sqrt(2+sqrt(3)))/1}}} = {{{-2*sqrt(2+sqrt(3))}}}.
</pre>

For closely related lessons see 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/HOW-TO-make-the-denominator-of-a-fraction-free-of-square-roots.lesson>HOW TO rationalize a fraction by making its denominator free of square roots</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/How-to-rationalize-a-fraction-by-making-its-denominator-free-of-cubic-roots.lesson>HOW TO rationalize a fraction by making its denominator free of cubic roots</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Amazing-calculations-with-fractions-that-contain-quadratic-irrationalities-in-denominators.lesson>Amazing calculations with fractions that contain quadratic irrationalities in denominators</A>

in this site.


Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic 
"<U>Simplifying and rationalizing expressions and functions (denominators)</U>".