3+2 root 2/ 2- root 2 = a+b root 2
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(√2 + √3)/( 3√2 -2√3) = a -b√6
( √2 + √3)( 3√2 + 2√3)/{ (3√2)² - (2√3)² }
(6 + 3√6 + 2√6 + 6 )/( 18 - 12)
(12 + 5√6)/6
2 +( 5/12)√6 = a - b√6
so, a = 2 and b = - 5/12
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