giải pt :

a, \(\dfrac{\sqrt{x-3}}{\sqrt{2x-1}-1}=\dfrac{1}{\sqrt{x+3}-\sqrt{x-3}}\)

b, \(\left(\sqrt{x^2+x+1}+\sqrt{4x^2+x+1}\right)\left(\sqrt{5x^2+1}-\sqrt{2x^2+1}\right)=3x^2\)

Giải PT: \(\sqrt{1-x}+\sqrt{x^2-3x+2}+\left(x-2\right).\sqrt{\dfrac{x-1}{x-2}}=3\)

giải pt : 

a, \(4x^2-6x+1+\dfrac{1}{\sqrt{3}}\sqrt{16x^4+4x^2+1}=0\)

b, \(x^2-3x+1+\dfrac{1}{\sqrt{3}}\sqrt{x^4+x^2+1}=0\)

giải pt :

a, (x+5)(2-x)=3\(\sqrt{x^2+3x}\)

b, \(\sqrt[3]{\dfrac{2x}{x+1}}+\sqrt[3]{\dfrac{1}{2}+\dfrac{1}{2x}}=2\)

c,\(\sqrt[5]{\dfrac{16x}{x-1}}+\sqrt[5]{\dfrac{x-1}{16x}}=\dfrac{5}{2}\)

d, \(\sqrt{5x^2+10x+1}=7-2x-x^2\)

e, \(\sqrt{2x^2+4x+1}=1-2x-x^2\)

giải pt :

a,\(2x^2-11x+21=3\sqrt[3]{4x-4}\)

b,\(\dfrac{\sqrt{x-3}}{\sqrt{2x-1}-1}=\dfrac{1}{\sqrt{x+3}-\sqrt{x-3}}\)

c,\(\left(\sqrt{x^2+x+1}+\sqrt{4x^2+x+1}\right)\left(\sqrt{5x^2+1}-\sqrt{2x^2+1}\right)=3x^2\)

giải pt sau :

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

trong đó biểu thức ở vế trái có 2010 dấu căn thức bậc 2

Giải pt sau

a,\(^{x^2-6x+26=6\sqrt{2x+1}}\)

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

giải hệ pt :

\(\left\{{}\begin{matrix}\dfrac{\sqrt{x}}{1+\sqrt{1-x}}-\dfrac{\sqrt{y}}{1+\sqrt{y}}+x+y=1\\8x^2+7x+20y-13=\left(1+\dfrac{1}{1-y}\right)\sqrt[3]{3x^2-2}\end{matrix}\right.\)

1,

A=\(3\sqrt{8}-\sqrt{50}-\sqrt{\sqrt{2}-1}\)

B=2\(\dfrac{2}{x-1}\sqrt{\dfrac{x^2-2x+1}{4x^2}}\) với 0<x<1

2,Giải pt

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