Question

Answer 1

a: \(A=6-3\sqrt{5}+\sqrt{5}-2=4+2\sqrt{5}\)

a: \(A=2\sqrt{4-2\sqrt{3}}-2\sqrt{3}+1\)

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

a: \(A=6-2\sqrt{5}-2\cdot\sqrt{6-2\sqrt{5}}\)

\(=6-2\sqrt{5}-2\left(\sqrt{5}-1\right)\)

\(=6-2\sqrt{5}-2\sqrt{5}+2=8-4\sqrt{5}\)

b: \(A=x^2+\left|x^2-4\right|\)

\(=x^2+4-x^2\left(x< =-2\right)\)

=4

b: \(A=\sqrt{\left(a+3\right)^2}+\sqrt{\left(a-3\right)^2}\)

\(=\left|a+3\right|+\left|a-3\right|\)

\(=a+3+a-3\left(a>=3\right)\)

=2a

b: \(A=x-2y-\sqrt{\left(x-2y\right)^2}\)

\(=x-2y-\left|x-2y\right|\)

\(=\left(x-2y\right)-\left(x-2y\right)\left(x-2y>=0\right)\)

=0