Question

If 5+2√3/7+√3 = a-√3b, Find a and b where a and b are rational numbers.

Answer 1

Answer:

5 + 2√3)(7 +√3) / (7 +4 √3 ) (7 - √3) = a - b√3 (35 - 5√3 + 14√3 – 6) / 49-3= a - b√3 (29 + 9√3 ) /46= a -b√3