Question

избавьтесь от иррациональности в знаменателе: 
1/(4root(3)-2root(2))

Answer 1

$frac{1}{4cdotsqrt{3}-2cdotsqrt{2}} = frac{4cdotsqrt{3}+2cdotsqrt{2}}{(4cdotsqrt{3}-2cdotsqrt{2})(4cdotsqrt{3}+2cdotsqrt{2})}=$

$= frac{4cdotsqrt{3}+2cdotsqrt{2}}{(4sqrt{3})^2-(2sqrt{2})^2} =frac{4cdotsqrt{3}+2cdotsqrt{2}}{40}$