Question

find a and b if: √2+√3/3√2-2√3=a-b√6​

Answer 1

√2 + √3 = a - b√6

3√2 - 2√3

√2 + √3 × 3√2 + 2√3 = a - b√6

3√2 - 2√3 3√2 + 2√3

6 + 2√6 + 3√6 + 6 = a - b√6

18 - 12

12 + 5√6 = a - b√6

6

12 + 5√6 = a - b√6

6 6

2 + 5√6 = a - b√6

Therefore, a = 2 and b = 5