Question

if 2+√3 / 3√2 - 2√3 = a+b√6, find the value of a and b

Answer 1

Hey mate!

Here's your answer!!

Given (√2 + √3) / (3√2-2√3)
( rationalize numarator and denominator)
(3√2 + 2√3 )

(√2 + √3)(3√2 + 2√3 ) / (3√2-2√3)(3√2 +2√3)

⇒ (12 + 5√6) / (18-12)

⇒ (2 + (5√6) /6 ) = a-b√6


Therefore, a = 2 and b = -5/6.

Hope it helps you!