\(\left(2\sqrt{2}-3\sqrt{5}\right)^2\) \(=\)\(\left(2\sqrt{2}\right)^2-2\times2\sqrt{2}\times3\sqrt{5}+\left(3\sqrt{5}\right)^2\)\(=8-12\sqrt{10}+45\)\(=\)\(53-12\sqrt{10}\)

Với \(x\ge0;x\ne9\)

\(B=\frac{2\sqrt{x}}{\sqrt{x}+3}+\frac{\sqrt{x}+1}{\sqrt{x}-3}+\frac{3-11\sqrt{x}}{9-x}\)

\(=\frac{2x-6\sqrt{x}+x+4\sqrt{x}+3-3+11\sqrt{x}}{x-9}=\frac{3x+9\sqrt{x}}{x-9}=\frac{3\sqrt{x}}{\sqrt{x}-3}\)

\(4+\sqrt{2x+6-6\sqrt{2x-3}}=\sqrt{2x-2+2\sqrt{2x-3}}\)

\(4+\sqrt{2x-3-6\sqrt{2x-3}+9}=\sqrt{2x-3+2\sqrt{2x-3}+1}\)

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

\(4+\left|\sqrt{2x-3}+3\right|=\left|\sqrt{2x-3}+1\right|\)

\(4+\sqrt{2x-3}+3=\sqrt{2x-3}+1\)

\(7+\sqrt{2x-3}=1+\sqrt{2x-3}\)(vô lý)

pt vô nghiệm

\(\)

lại nhầm nữa sr

bạn sủa dòng 3 thành

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

\(4+\left|\sqrt{2x-3}-3\right|=\left|\sqrt{2x-3}+1\right|\)

\(TH1:x\le6\)

\(4+3-\sqrt{2x-3}=-\sqrt{2x-3}-1\)

\(7-\sqrt{2x-3}=-\sqrt{2x-3}-1\)

\(7=-1\)vô nghiệm
\(TH2:x>6\)

\(4+\sqrt{2x-3}-3=\sqrt{2x-3}+1\)

\(\sqrt{2x-3}+1=\sqrt{2x-3}+1\)pt vô số nghiệm

\(\)