Rút gọn:
\(A=\dfrac{3x+\sqrt{9x}-3}{x+\sqrt{x}-2}-\dfrac{\sqrt{x}+1}{\sqrt{x}+2}+\dfrac{\sqrt{x}-2}{\sqrt{x}}\cdot\left(\dfrac{1}{1-\sqrt{x}}-1\right)\)
Tính B=\(\left(\sqrt{10}-\sqrt{2}\right)\cdot\sqrt{3+\sqrt{6}}\)
Rút gọn:
\(A=1-\left[\dfrac{2x\sqrt{x}+x-\sqrt{x}}{1+x\sqrt{x}}+\dfrac{2x-1+\sqrt{x}}{1-x}\right]\cdot\left[\dfrac{\left(x-\sqrt{x}\right)\left(1-\sqrt{x}\right)}{2\sqrt{x}-1}\right]\)
\(B=\left[1:\frac{2x-1}{x-x^2}\right]\cdot\left[\frac{2x^3+x^2-x}{x^3-1}-2-\frac{1}{x-1}\right]\)
1,826-y/\(1,826-\frac{y^2}{\sqrt{12,04}}:\sqrt{18}\cdot\left(\sqrt{15}-\frac{2,3+\frac{5}{3\sqrt{5}}\cdot7}{0,0598\sqrt{15}+\sqrt[3]{6}}\right)=\frac{7}{4}\)
\(y=\frac{1567}{x^2+\sqrt{x}}\sqrt[2]{9+}c-9\cdot\)\(y=\frac{1}{x^2+\sqrt{x}}\sqrt{129\frac{\frac{3}{2}}{2}}\)
Toán 8 nâng cao
1/ \(\sqrt{\frac{m}{1-2x+x^2}}\cdot\sqrt{\frac{4m-8mx+4mx^2}{81}}\)
2/\(\left(\frac{1-a\sqrt{a}}{1-\sqrt{a}}+\sqrt{a}\right)\left(\frac{1-\sqrt{a}}{1-a}\right)^2\)
3/\(\frac{a+b}{b^2}\sqrt{\frac{a^2b^4}{a^2+2ab+b^2}}\)
tinh gia tri bieu thuc
\(C=\sqrt{\left(1-\sqrt{2007}\right)^2}\cdot\sqrt{2008+2\sqrt{2007}}\)
Giải phương trình :
\(3x^3+3x^2+1=\sqrt{1+4x}\cdot\sqrt[3]{1-6x}\)
Rút gọn:
\(A=\left[1:\left(1-\dfrac{\sqrt{a}}{1+\sqrt{a}}\right)\right]\cdot\left[\dfrac{1}{\sqrt{a}-1}-\dfrac{2\sqrt{a}}{a\sqrt{a}-a+\sqrt{a}-1}\right]\)