Question

упростите не используя формулу радикала 

   √(9-4√2) -√(3+2√2)

Answer 1

=(2sqrt(2)-1)-1(+sqrt(2))=sqrt(2)-2

Answer 2

$sqrt{9-4sqrt{2}}-sqrt{3+2sqrt{2}}=\\sqrt{8-4sqrt{2}+1}-sqrt{1+2sqrt{2}+2}=\\sqrt{(2sqrt{2})^2-2*(2sqrt{2})*1+1^2}-sqrt{1^2+2*1*sqrt{2}+(sqrt{2})^2}=sqrt{(2sqrt{2}-1)^2}-sqrt{(1+sqrt{2})^2}=\\|2sqrt{2}-1|+|1+sqrt{2}|=\\2sqrt{2}-1-1-sqrt{2}=sqrt{2}-2$