Gpt: \(\sqrt[8]{1-x}+\sqrt[8]{1+x}+\sqrt[8]{1-x^2}=3\)
gpt : a) \(\frac{2+\sqrt{x}}{\sqrt{2}+\sqrt{2+\sqrt{x}}}+\frac{2-\sqrt{x}}{\sqrt{2}-\sqrt{2-\sqrt{x}}}=\sqrt{2}\)
b) \(\sqrt[3]{x+1}+\sqrt[3]{x+2}+\sqrt[3]{x+3}=0\)
c) \(\sqrt[4]{1-x^2}+\sqrt[4]{1+x}+\sqrt[4]{1-x}=3\)
\(\sqrt{x+3}+\sqrt{2-x}-\sqrt{6-x-x^2}=1\)
Gpt
GPT : \(\sqrt{x^2-3x+2}+\sqrt{x+3}=\sqrt{x-2}+\sqrt{x^2+2x-3}\)
GPT : x = \(\sqrt{2-x}\cdot\sqrt{3-x}+\sqrt{3-x}\cdot\sqrt{5-x}+\sqrt{5-x}\cdot\sqrt{2-x}\)
GPT
\(x^2-3\sqrt[3]{3x-2}-12+\frac{1}{\sqrt{x}}=\frac{\sqrt{x}+8}{x}\)
gpt:
\(\sqrt{x^3+x^2+3x+3}+\sqrt{2x}=\sqrt{x^2+3}+\sqrt{2x^2+2x}\)
Gpt : a) \(\sqrt{x-1}+\sqrt{x+3}+2\sqrt{\left(x-1\right)\left(x^2-3x+5\right)}=4-2x\)
b) \(\sqrt[4]{1-x}+\sqrt[4]{2-x}=\sqrt[4]{3-2x}\)
c) \(\sqrt{x+1}+\sqrt{x+10}=\sqrt{x+2}+\sqrt{x+5}\)
gpt:
1, \(3\sqrt{3}\left(x^2+4x+2\right)-\sqrt{x+8}=0\)
2, \(x^2-x-2\sqrt{1+16x}=2\)