Question

mng giúp mik zới ạ !!!

Answer 1

4:

a: \(A=\dfrac{1}{\sqrt{2}}\left(\sqrt{2x+2\sqrt{2x-1}}-\sqrt{2x-2\sqrt{2x-1}}\right)\)

\(=\dfrac{1}{\sqrt{2}}\left(\sqrt{2x-1}+1-\sqrt{2x-1}+1\right)\)

=căn 2

b: \(B=\dfrac{1}{\sqrt{2}}\left(\sqrt{2x+4\sqrt{2x-4}}+\sqrt{2x-4\sqrt{2x-4}}\right)\)

\(=\dfrac{1}{\sqrt{2}}\left(\sqrt{\left(\sqrt{2x-4}+2\right)^2}+\sqrt{\left(\sqrt{2x-4}-2\right)^2}\right)\)

\(=\dfrac{1}{\sqrt{2}}\left(\sqrt{2x-4}+2+\sqrt{2x-4}-2\right)\)

\(=\sqrt{4x-8}=2\sqrt{x-2}\)