Question

Find A&B when root 2+root3÷3root2-2root3=A-B root6

Answer 1

Given (√2 + √3)/(3√2 - 2√3) = a - b√6  can be written as

(√2 + √3)(3√2 + 2√3) / (3√2 - 2√3)(3√2 + 2√3) = a - b√6 

(6 + 3√6 + 2√ 6 + 6) / 6 = a - b√6 

(12 + 5√6) / 6 = a - b√6 

2 + 5/√6 = a - b√6 

2 + 5√6/6 = a - b√6 

a = 2 

b = -5/6

Answer 2

Refer the attachment for the answer.

Hope it helps u :)

Regards,
Shobana