rationalise the denominator of 2√6/√2+√3
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=> 2 root 6 / root 2 + 3 = 2 root 6 / root 2 + root 3 [ root 2 - root 3 / root 2 - root 3 ].
=> 2 root 6 ( root 2 - root 3 ) / ( root 2 + root 3 ) ( root 2 - root 3 ).
=> 2 root 12 - 2 root 18 / ( root 2^2 ) - ( root 3^2 ).
=> 2 ( root 12 - root 18 ) / 2 - 3.
=> 2 ( root 2 × 2 × 3 - root 3 × 3 × 2 ) / - 1.
=> - 2 ( 2 root 3 - 3 root 2 ).
=> 2 ( 3 root 2 - 2 root 3 ).
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