Question

помогите упростить!
(√10-1)²-3/√10+√3-1

Answer 1

$frac{(sqrt{10}-1)^2-3}{sqrt{10}+sqrt{3}-1}=\\frac{(sqrt{10}-1)^2-(sqrt{3})^2}{sqrt{10}+sqrt{3}-1}=\\frac{((sqrt{10}-1)-sqrt{3})((sqrt{10}-1)+sqrt{3})}{(sqrt{10}-1)+sqrt{3}}=\\(sqrt{10}-1)-sqrt{3}=sqrt{10}-sqrt{3}-1$