Question 1203969
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{{{(6-4sqrt(5))/(2-3sqrt(3))}}}<br>
Rationalize by multiplying numerator and denominator by the conjugate of the denominator, {{{2+3sqrt(3)}}}<br>
The will make the denominator rational:<br>
{{{(2-3sqrt(3))(2+3sqrt(3))=(2)^2-(3sqrt(3))^2=4-27=-23}}}<br>
{{{((6-4sqrt(5))/(2-3sqrt(3)))*((2+3sqrt(3))/(2+3sqrt(3)))=((6-4sqrt(5))(2+3sqrt(3)))/-23}}}<br>
Finish the problem by performing the multiplication in the numerator.<br>