document.write( "Question 182655This question is from textbook Intermediate algebra
\n" ); document.write( ": 2 sq rt3 + sq rt7 over 3 sqrt3 - sqrt7 \n" ); document.write( "
Algebra.Com's Answer #137143 by edjones(8007)\"\" \"About 
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{[2sqrt(3)+sqrt(7)]/[3sqrt(3)-sqrt(7)]}
\n" ); document.write( "={[2sqrt(3)+sqrt(7)]/[3sqrt(3)-sqrt(7)]} * {[3sqrt(3)+sqrt(7)]/[3sqrt(3)+sqrt(7)]} So as to eliminate sqrts in the denominator (not allowed in an answer).(a-b)(a+b)=a^2-b^2 with a=3sqrt(3) and b=sqrt(7)
\n" ); document.write( "=[18+5sqrt(21)+7]/(27-7)
\n" ); document.write( "=[25+5sqrt(21)]/20
\n" ); document.write( "=[5+sqrt(21)]/4
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