Question

Rationalise it and find value of a and b

Answer 1

Hey bro !!

Ur question is lil bit wrong cheack it out ones again ..

see this attachment !!!

Hope it helps you !!

@Rajukumar111

Answer 2

Hey there !!
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↪ Question correction :- ( √2 + √3 ) / ( 3√2 – 2√3 ) = a + b√6
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↪ Solution :-

( √2 + √3 ) / ( 3√2 – 2√3 ) × ( 3√2 + 2√3 ) / ( 3√2 + 2√3 )

= ( √2 + √3 ) ( 3√2 + 2√3 ) / [ (3√2)² – (2√3)² ]

= [ √2 ( 3√2 + 2√3 ) + √3 ( 3√2 + 2√3 ) ] / ( 18 – 12 )

= ( 6 + 2√6 + 3√6 + 6 ) / 6

= ( 12 + 5√6 ) / 6

= ( 12 / 6 ) + ( 5√6 / 6 )

= 4 + ( 5√6 / 6 )

Thus, a = 4 and b = 5/6.
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Hope my ans.'s satisfactory. (^-^)