Question

If both 'a' and 'b' are rational numbers, then find ‘a’ and 'b' using the equation 3−√5/3+2√5= a√5-b

Answer 1

Answer:

» (3 - √5)/(3 + 2√5) = a√5 - b

» (3 - √5) (3 - 2√5)/ (9 - 20) = a√5 - b

» (9 - 6√5 - 3√5 + 10)/(-11) = a√5 - b

» (9√5 - 19)/11 = a√5 - b

Therefore, a = 9/11 & b = 19/11