4√5+3√2\3√5-2√2=a+b√10.

Asked by lakshmikottakkadu | 1st Sep, 2019, 10:43: PM

Expert Answer:

begin mathsize 16px style fraction numerator 4 square root of 5 plus 3 square root of 2 over denominator 3 square root of 5 minus 2 square root of 2 end fraction equals straight a plus straight b square root of 10 end style
begin mathsize 16px style fraction numerator 4 square root of 5 plus 3 square root of 2 over denominator 3 square root of 5 minus 2 square root of 2 end fraction cross times fraction numerator 3 square root of 5 plus 2 square root of 2 over denominator 3 square root of 5 plus 2 square root of 2 end fraction equals straight a plus straight b square root of 10 end style
begin mathsize 16px style fraction numerator 60 plus 8 square root of 10 plus 9 square root of 10 plus 12 over denominator 45 minus 8 end fraction equals straight a plus straight b square root of 10 end style
begin mathsize 16px style fraction numerator 72 plus 17 square root of 10 over denominator 37 end fraction equals straight a plus straight b square root of 10 end style
begin mathsize 16px style straight a equals 72 over 37 space and space straight b equals 17 over 37 end style

Answered by Sneha shidid | 3rd Sep, 2019, 10:15: AM