Q

Asked by Shawn | 27th May, 2016, 05:39: PM

Expert Answer:

fraction numerator square root of 6 over denominator 2 square root of 3 minus square root of 6 end fraction plus fraction numerator square root of 6 over denominator square root of 3 plus square root of 2 end fraction minus fraction numerator 4 square root of 3 over denominator square root of 6 minus square root of 2 end fraction
equals fraction numerator square root of 6 open parentheses 2 square root of 3 plus square root of 6 close parentheses over denominator open parentheses 2 square root of 3 minus square root of 6 close parentheses open parentheses 2 square root of 3 plus square root of 6 close parentheses end fraction plus fraction numerator square root of 6 open parentheses square root of 3 minus square root of 2 close parentheses over denominator open parentheses square root of 3 plus square root of 2 close parentheses open parentheses square root of 3 minus square root of 2 close parentheses end fraction minus fraction numerator 4 square root of 3 open parentheses square root of 6 plus square root of 2 close parentheses over denominator open parentheses square root of 6 minus square root of 2 close parentheses open parentheses square root of 6 plus square root of 2 close parentheses end fraction
equals fraction numerator 2 square root of 18 plus 6 over denominator open parentheses 2 square root of 3 close parentheses squared minus open parentheses square root of 6 close parentheses squared end fraction plus fraction numerator square root of 18 minus square root of 12 over denominator open parentheses square root of 3 close parentheses squared minus open parentheses square root of 2 close parentheses squared end fraction minus fraction numerator 4 square root of 18 plus 4 square root of 6 over denominator open parentheses square root of 6 close parentheses squared minus open parentheses square root of 2 close parentheses squared end fraction
equals fraction numerator 6 square root of 2 plus 6 over denominator 12 minus 6 end fraction plus fraction numerator 3 square root of 2 minus 2 square root of 3 over denominator 3 minus 2 end fraction minus fraction numerator 12 square root of 2 plus 4 square root of 6 over denominator 6 minus 2 end fraction
equals fraction numerator 6 square root of 2 plus 6 over denominator 6 end fraction plus fraction numerator 3 square root of 2 minus 2 square root of 3 over denominator 1 end fraction minus fraction numerator 12 square root of 2 plus 4 square root of 6 over denominator 4 end fraction
equals square root of 2 plus 1 space plus space up diagonal strike 3 square root of 2 end strike minus 2 square root of 3 space up diagonal strike negative space 3 square root of 2 end strike space minus space square root of 6
equals 1 plus square root of 2 minus 2 square root of 3 minus square root of 6

Answered by satyajit samal | 29th May, 2016, 04:33: PM

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