\(\left(\sqrt{10}+\sqrt{2}\right)\left(\sqrt{6}+2\sqrt{5}\right)\sqrt{3+\sqrt{5}}\)

Thực hiện phép tính:

a)\(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}\)

b)\(\sqrt{8-2\sqrt{15}}-\sqrt{23-4\sqrt{15}}\)

c)\(\sqrt{48-6\sqrt{15}}-\sqrt{72-18\sqrt{15}}\)

d)\(\sqrt{29-6\sqrt{20}}+\sqrt{14+3\sqrt{20}}\)

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

\(\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1\)

\(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+14}=4-2x-x^2\)

\(\sqrt{7-x}+\sqrt{x+1}=\sqrt{x^2-6x+13}\)

\(\sqrt{9x^2-6x+2}+\sqrt{45x^2-30x+9}=\sqrt{6x-9x^2+8}\)

\(\sqrt{2-x^2+2x}+\sqrt{-x^2-6x-8}=1+\sqrt{3}\)

\(\sqrt{x^2-4x+5}+\sqrt{x^2-4x+8}+\sqrt{x^2-4x+9}=3+\sqrt{5}\)

giải phương trình : \(x^2+3x+1=\left(x+3\right)\sqrt{x^2+1}\)