Question

Answer 1

\(a,\sqrt{\left(1-\sqrt{2}\right)^2}-\sqrt{\left(2\sqrt{2}+1\right)^2}\\ =\sqrt{2}-1-2\sqrt{2}-1=-\sqrt{2}\\ b,\sqrt{\left(\sqrt{5}-2\right)^2}+\sqrt{\left(\sqrt{5}-3\right)^2}\\ =\sqrt{5}-2+3-\sqrt{5}=1\)

Answer 2

a: \(\sqrt{\left(1-\sqrt{2}\right)^2}-\sqrt{\left(2\sqrt{2}+1\right)^2}\)

\(=\sqrt{2}-1-2\sqrt{2}-1\)

\(=-\sqrt{2}-2\)

b: \(\sqrt{\left(\sqrt{5}-2\right)^2}+\sqrt{\left(\sqrt{5}-3\right)^2}\)

\(=\sqrt{5}-2+3-\sqrt{5}\)

=1