SOLUTION: 2 sq rt3 + sq rt7 over 3 sqrt3 - sqrt7

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Question 182655This question is from textbook Intermediate algebra
: 2 sq rt3 + sq rt7 over 3 sqrt3 - sqrt7 This question is from textbook Intermediate algebra

Answer by edjones(8007) About Me  (Show Source):
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{[2sqrt(3)+sqrt(7)]/[3sqrt(3)-sqrt(7)]}
={[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)
=[18+5sqrt(21)+7]/(27-7)
=[25+5sqrt(21)]/20
=[5+sqrt(21)]/4
.
Ed