√2/4√2-2√3 Rationalise
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we have to rationalize the denominator
the denominator is 4 root 2 minus 2 root 3
for this expression the rationalising factor will be 4 root 2 + 2 root 3
on multiplying both the the expressions we get square of 4 root 2 minus square of 2 root 3
that is 32 minus 12 equal to 20.
numerator will be root 2( 4 root 2 2 + 2 root 3 )
equal to 16+2 root 6.
so the answer is 16+2root6/20
simplifying further, we get 8+root6/10.
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