Question

\(\sqrt{\left(4-3\sqrt{2}\right)^2}-\sqrt{19+6\sqrt{2}}\)

giúp mình đi mình ra kết quả không đúng

kết quả ra -5 đó mn

Answer 1

\(\sqrt{\left(4-3\sqrt{2}\right)^2}-\sqrt{19+6\sqrt{2}}\)

\(=3\sqrt{2}-4-\sqrt{19+2\sqrt{18}}\)(vì \(3\sqrt{2}>4\))

\(=3\sqrt{2}-4-\sqrt{\left(\sqrt{18}+1\right)^2}\)

\(=\sqrt{18}-4-\sqrt{18}-1=-5\)

Answer 2

\(\sqrt{\left(4-3\sqrt{2}\right)^2}-\sqrt{19+6\sqrt{2}}=\left|4-3\sqrt{2}\right|-\sqrt{\left(3\sqrt{2}+1\right)^2}=3\sqrt{2}-4-3\sqrt{2}-1=-5\)