Question

\(\sqrt{9-4\sqrt{2}}-\sqrt{11+6\sqrt{2}}\)

Answer 1

\(\sqrt{9-4\sqrt{2}}-\sqrt{11+6\sqrt{2}}=\sqrt{\left(2\sqrt{2}-1\right)^2}-\sqrt{\left(\sqrt{2}+3\right)^2}=2\sqrt{2}-1-\left(\sqrt{2}+3\right)=\sqrt{2}-4\)

Answer 2

=\(\sqrt{9-2\sqrt{8}}-\sqrt{11+6\sqrt{2}}=\sqrt{\left(\sqrt{8}-1\right)^2}-\sqrt{\left(\sqrt{2}+9\right)^2}=\left|\sqrt{8}-1\right|+\left|9+\sqrt{2}\right|=2\sqrt{2}-1+9+\sqrt{2}=8+3\sqrt{2}\)

Answer 3

ôi chết mk tính sai cái căn sau rùi phải là \(\sqrt{\left(3+\sqrt{2}\right)^2}\) ms đúng