1.a) Rút gọn: \(\frac{2x+\sqrt{x}-1}{1-x}+\frac{2x\sqrt{x}+x-\sqrt{x}}{1+x\sqrt{x}}\)
b) \(\sqrt[3]{3+\sqrt{17}}+\sqrt[3]{3-\sqrt{17}}\)
2. Giải phương trình:
a) \(\sqrt{x^2-3x+2}+\sqrt{x+3}=\sqrt{x-2}+\sqrt{x^2+2x-3}\)
b) \(\sqrt{2x^2-9x+4}+3\sqrt{2x-1}=\sqrt{2x^2+21x-11}\)
c) \(x^2+2015x-2014=2\sqrt{2017x-2016}\)
d) \(\sqrt{\left(1+x^2\right)^3}-4x^3=1-3x^4\)