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[g123456]

1. \sqrt{(x+2)(2x+1)}-3\sqrt{x+6}=4-\sqrt{(x+6)(2x+1)}+3\sqrt{x+2}
2. 4\sqrt{x+1}-1=3x+2\sqrt{1-x}+\sqrt{1-{x}^{2}
3. \sqrt{x}-\sqrt[3]{1-x}= 5-4x
4. 2({x}^{2}+2)=5\sqrt{x}^{3}+1}
5. x+2\sqrt{7-x}=2\sqrt{x-1}+\sqrt{{-x}^{2}+8x-7}+1
6. \sqrt[3]{x-1}+\sqrt[3]{x+1}=2x+1
7. \sqrt{{x}^{2}+x+2}=\frac{3{x}^{2}+3x+2}{3x+1}
8. x=(2004+\sqrt{x})(1-\sqrt{1-\sqrt{x}})^2

1.\[ \sqrt{(x+2)(2x+1)}-3\sqrt{x+6}=4-\sqrt{(x+6)(2x+1)}+3\sqrt{x+2}\]

2. \[4\sqrt{x+1}-1=3x+2\sqrt{1-x}+\sqrt{1-{x}^{2}\]

3. \[\sqrt{x}-\sqrt[3]{1-x}= 5-4x\]

4. \[2({x}^{2}+2)=5\sqrt{x}^{3}+1}\]

5. \[x+2\sqrt{7-x}=2\sqrt{x-1}+\sqrt{{-x}^{2}+8x-7}+1\]

6. \[\sqrt[3]{x-1}+\sqrt[3]{x+1}=2x+1\]

7. \[\sqrt{{x}^{2}+x+2}=\frac{3{x}^{2}+3x+2}{3x+1}\]

8. \[x=(2004+\sqrt{x})(1-\sqrt{1-\sqrt{x}})^2\]

 

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