Question

вычислить √(3-√6)^2-√(2-√6)^2=

Answer 1

$sqrt{a^2}=|a|$

$sqrt{(3-sqrt6)^2} - sqrt{(2-sqrt6)^2} =|3-sqrt6|-|2-sqrt6|=\\=(3-sqrt6)-(sqrt6-2)=3-sqrt6+2-sqrt6=5-2sqrt6$