Question

if A and B are rational numbers such that root 3 + root 2 by 3 root 2 minus 2 root 3 is equal to a minus b by root 6 then find a b​

Answer 1

Answer:

Step-by-step explanation:

√3 +√2 / 3√2 - 2√3  = a-b /√6

First you have to rationalize the denominator

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

3√6 +6 + 6 + 2√6 /  18 - 12 = a-b /√6

3√6+2√6 + 12 / 6  = a-b /√6

√6 ( 3√6 + 2√6 + 12) = 6 ( a-b)

18 + 12 + 12√6 = 6 (a-b)

30 +12√6 = 6(a-b)

6( 5 + 2√6 ) = 6 ( a-b )

5 + 2√6 = a-b

By comparison

a = 5

-b = 2√6

b = -2√6