Question

помогите решить срочно пж $frac{( sqrt[4]{24} + sqrt[4]{6} )}{ 4 sqrt{3}+3 sqrt{6} }$

Answer 1

$frac{ sqrt[4]{24} + sqrt[4]{6} }{4 sqrt{3} +3 sqrt{6} } = frac{ (sqrt[4]{24} + sqrt[4]{6})(3 sqrt{6} -4 sqrt{3} ) }{6} } = frac{ sqrt[4]{6} ( sqrt{2} +1)(3 sqrt{6} -4 sqrt{3} )}{6} =\ = frac{sqrt[4]{6}(2 sqrt{3}- sqrt{6} )}{6} = frac{ sqrt[4]{6}( sqrt{2}-1) }{6} = frac{ sqrt{2}-1 }{ sqrt[4]{6} }$