find 'a' and 'b' if 5+2square root of 3/7+4square root of 3
=a+bsquare root of 3

Asked by piyush | 8th Jul, 2017, 10:14: AM

Expert Answer:

begin mathsize 16px style fraction numerator 5 plus 2 square root of 3 over denominator 7 plus 4 square root of 3 end fraction equals straight a plus straight b square root of 3
Doing space rationalisation comma
fraction numerator 5 plus 2 square root of 3 over denominator 7 plus 4 square root of 3 end fraction cross times fraction numerator 7 minus 4 square root of 3 over denominator 7 minus 4 square root of 3 end fraction equals straight a plus straight b square root of 3
fraction numerator 35 minus 20 square root of 3 plus 14 square root of 3 minus 24 over denominator 49 minus 48 end fraction equals straight a plus straight b square root of 3
fraction numerator 11 minus 6 square root of 3 over denominator 1 end fraction equals straight a plus straight b square root of 3
11 minus 6 square root of 3 equals straight a plus straight b square root of 3
straight a equals 11 comma space straight b equals negative 6
end style

Answered by Sneha shidid | 8th Jul, 2017, 10:18: PM