Giải phương trình bậc nhất 1 ẩn sau đây:
\(\frac{2+\sqrt{3}}{3-\sqrt{5}}x-\frac{1-\sqrt{6}}{3+\sqrt{2}}\left(x-\frac{3-\sqrt{7}}{4-\sqrt{3}}\right)=\frac{15-\sqrt{11}}{2\sqrt{3}-5}\)
\(\frac{10\sqrt{18}+5\sqrt{3}-15\sqrt{27}}{\sqrt{3}\left(\sqrt{6}-4\right)}\)
\(\left(1+\frac{11-\sqrt{11}}{1-\sqrt{11}}\right)\left(\frac{11+\sqrt{11}}{1+\sqrt{11}}+1\right)\)
\(A=\frac{\sqrt{3.\sqrt{18.\sqrt[6]{8.\sqrt{x.64^{2\sqrt{7}}}}}}}{\sqrt{y}.6.z^{7\sqrt{2}}.10+\sqrt[15]{78}}=\frac{95}{78}\)
Tìm x,y,z và x+y+z
1.Rút gọn:
a) \(A=\sqrt{2+\sqrt{3}.}\sqrt{2+\sqrt{2+\sqrt{3}}}.\sqrt{2-\sqrt{2+\sqrt{3}}}\)
b) \(B=\left(\frac{\sqrt{x}}{\sqrt{xy}-y}-\frac{\sqrt{y}}{\sqrt{xy}-x}\right).\left(x\sqrt{y}-y\sqrt{x}\right)\)
c) \(C=\sqrt{\left(3-\sqrt{5}\right)^2+\sqrt{6}-2\sqrt{5}}\)
Rút gọn:
\(A=\left(\frac{4x\sqrt{x}+3x+9}{x+5\sqrt{x}+6}-\frac{3-\sqrt{x}}{2+\sqrt{x}}\right)\div\left(\frac{\sqrt{x}}{3+\sqrt{x}}-\frac{3+4\sqrt{x}}{x+5\sqrt{x}+6}\right)\)
\(B=\left(x-\sqrt{x}-2\right)\left(\dfrac{3}{\sqrt{x}-2}-\dfrac{4-\sqrt{x}}{x-2\sqrt{x}}\right)\)
Tìm x để B=3A,biếtA=\(\left(\frac{5+2\sqrt{6}}{\sqrt{3}+\sqrt{2}}+\frac{5-2\sqrt{6}}{\sqrt{3}-\sqrt{2}}\right)\) /\(\left(\frac{1}{2\sqrt{5}+3\sqrt{2}}-\frac{1}{2\sqrt{5}-3\sqrt{2}}\right)\)
B=\(\frac{2x^4-x^3+2x^2+x-4}{2x^3-x^2-2x+1}\)
1. Cho B=\(\frac{x^3}{x^2-4}\)− \(\frac{x}{x-2}\)− \(\frac{2}{x+2}\)Rút gọn B và tìm \(x\inℕ\)để b là số nguyên
2. Cho \(x\ge0;\) \(x\ne0;\) \(x\ne9;\). Tìm X để \(\left(1-\frac{x+\sqrt{x}}{\sqrt{x}+1}\right)\cdot\)\(\left(\frac{1}{1-\sqrt{x}}+\frac{2}{\sqrt{x}-3}\right)=2\)
Gợi ý: \(\left(y=\sqrt{x}\right)\Rightarrow x=y^2\)
3.Cho B=\(\frac{\sqrt{x}+2}{x-5\sqrt{x}+6}-\frac{\sqrt{x}+3}{2-\sqrt{x}}-\frac{\sqrt{x}+2}{\sqrt{x-3}}\)rút gọn B và tìm X để \(\frac{1}{B}\le-\frac{5}{2}\)
GIÚP MÌNH NHA!!! 5 Tick 1 câu
\(A=\left(\sqrt{3}+1\right)^2+\frac{5}{4}\sqrt{48}-\frac{2}{\sqrt{3+1}}\)
\(B=\frac{4}{3-\sqrt{5}}-\frac{3}{\sqrt{5}+\sqrt{2}}-\frac{1}{\sqrt{2}-1}\)
\(C=\sqrt{4-2\sqrt{3}}-\sqrt{7+4\sqrt{3}}\)
Rút gọn
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