Question

упростить выражение (1-√2)/(√3-√6)

Answer 1

$frac{1- sqrt{2} }{ sqrt{3}- sqrt{6} }=frac{(1- sqrt{2}) (sqrt{3}+ sqrt{6})}{ (sqrt{3}- sqrt{6}) (sqrt{3}+ sqrt{6}) } =frac{sqrt{3}+ sqrt{6} - sqrt{6}- sqrt{12} }{ (3- 6) }=frac{sqrt{3}- sqrt{12} }{ -3 }=frac{sqrt{12}-sqrt{3} }{ 3 }$