CBSE Class 9 Answered

If x = and y = then find the value of x + y.

Asked by bhuana740rocks | 26 Jun, 2014, 10:44: PM

Expert Answer

$x plus y equals fraction numerator square root of 3 minus 1 over denominator square root of 3 plus 1 end fraction plus fraction numerator 2 plus square root of 3 over denominator 2 minus square root of 3 end fraction equals fraction numerator open square brackets open parentheses square root of 3 minus 1 close parentheses open parentheses 2 minus square root of 3 close parentheses close square brackets plus open square brackets open parentheses 2 plus square root of 3 close parentheses open parentheses square root of 3 plus 1 close parentheses close square brackets over denominator open parentheses square root of 3 plus 1 close parentheses open parentheses 2 minus square root of 3 close parentheses end fraction equals fraction numerator open parentheses 2 square root of 3 minus 3 minus 2 plus square root of 3 close parentheses plus open parentheses 2 square root of 3 plus 2 plus 3 plus square root of 3 close parentheses over denominator 2 square root of 3 minus 3 plus 2 minus square root of 3 end fraction equals fraction numerator open parentheses 3 square root of 3 minus 5 close parentheses plus open parentheses 3 square root of 3 plus 5 close parentheses over denominator square root of 3 minus 1 end fraction equals fraction numerator 6 square root of 3 over denominator square root of 3 minus 1 end fraction equals fraction numerator 6 square root of 3 over denominator square root of 3 minus 1 end fraction cross times fraction numerator square root of 3 plus 1 over denominator square root of 3 plus 1 end fraction equals fraction numerator 6 square root of 3 open parentheses square root of 3 plus 1 close parentheses over denominator open parentheses square root of 3 close parentheses squared minus open parentheses 1 close parentheses squared end fraction equals fraction numerator 18 plus 6 square root of 3 over denominator 3 minus 1 end fraction equals fraction numerator 18 plus 6 square root of 3 over denominator 2 end fraction equals 9 plus 3 square root of 3$