<PRE><B>Question 945748</B>
{{{1/(sqrt(8)-sqrt(7))}}}


Multiply by {{{1=(sqrt(8)+sqrt(7))/(sqrt(8)+sqrt(7))}}}


That is not the answer.  I told you what to do in order for YOU to get the answer on your own.




METHOD TO RATIONALIZE DENOMINATOR


Use the conjugate of the irrational denominator, and form a factor of 1.  Multiply your given expression by 1:


{{{(1/(sqrt(8)-sqrt(7)))((sqrt(8)+sqrt(7))/(sqrt(8)+sqrt(7)))}}}


{{{(sqrt(8)+sqrt(7))/((sqrt(8)-sqrt(7))(sqrt(8)+sqrt(7)))}}}


Use distributive property for the denominator, or a lattice approach, or...


{{{(sqrt(8)+sqrt(7))/(8-sqrt(8)sqrt(7)+sqrt(8)sqrt(7)-7)}}}


{{{(sqrt(8)+sqrt(7))/(8+0-7)}}}


{{{(sqrt(8)+sqrt(7))/(1)}}},  denominator in this form is 1.


{{{highlight(sqrt(8)+sqrt(7))}}}


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