Rút gọn:
A= \(1+\left(\frac{2a+\sqrt{a}-1}{1-a}-\frac{2a\sqrt{a}-\sqrt{a}+a}{1-a\sqrt{a}}\right).\frac{a-\sqrt{a}}{2\sqrt{a}-1}\)
Rút gọn biểu thức:
A= \(1+\left(\frac{2a+\sqrt{a}-1}{1-a}-\frac{2a\sqrt{a}-\sqrt{a}+a}{1-a\sqrt{a}}\right).\frac{a-\sqrt{a}}{2\sqrt{a}-1}\)
\(\left(\frac{\sqrt{1+a}}{\sqrt{1+a}-\sqrt{1-a}}+\frac{\sqrt{a^2-2a+1}}{\sqrt{1-a^2}-\sqrt{a^2-2a+1}}\right)\left(\sqrt{\frac{1}{a^2}-1}-\frac{1}{a}\right)ĐK:0< a< 1\)Dk 0
Rút gọn \(1+\left(\frac{2a+\sqrt{a}-1}{1-a}-\frac{2a\sqrt{a}-\sqrt{a}+a}{1-a\sqrt{a}}\right)\left(\frac{a-\sqrt{a}}{2\sqrt{a}-1}\right)\)
Rút gọn biểu thức:
a) \(\left(\frac{\sqrt{a}+1}{\sqrt{ab}+1}+\frac{\sqrt{ab}+\sqrt{a}}{\sqrt{ab}-1}\right)\div\left(\frac{\sqrt{a}+1}{\sqrt{ab}+1}+\frac{\sqrt{ab+\sqrt{a}}}{\sqrt{ab}-1}+1\right)\)
b) \(1+\left(\frac{2a+\sqrt{a}-1}{1-a}-\frac{2a\sqrt{a}-\sqrt{a}+a}{1-a\sqrt{a}}\right)\left(\frac{a-\sqrt{a}}{2\sqrt{a}-1}\right)\)
Cho A=\(1+\left(\frac{2a+\sqrt{a}-1}{1-a}-\frac{2a\sqrt{a}-\sqrt{a}+a}{1-a\sqrt{a}}\right)\times\frac{a-\sqrt{a}}{2\sqrt{a}-1}\)
a> Rút gọc A
b> tìm a để a=\(\frac{6}{1+\sqrt{6}}\)
Rút gọn biểu thức:
\(1+\left(\frac{2a+\sqrt{a}-1}{1-a}-\frac{2a\sqrt{a}-\sqrt{a}+a}{1-a\sqrt{a}}\right)\left(\frac{a-\sqrt{a}}{2\sqrt{a}-1}\right)\)
Tính: a) A= \(\frac{1+2a}{1+\sqrt{1+2a}}+\frac{1-2a}{1-\sqrt{1-2a}}\)với a= \(\frac{\sqrt{3}}{4}\)
b) B= \(\frac{x\sqrt{x}-2x+28}{x-3\sqrt{x}-4}-\frac{\sqrt{x}-4}{\sqrt{x}+1}+\frac{\sqrt{x}+8}{4-\sqrt{x}}\)với 0 < x khác 16)
Rút gọn biểu thức:
A= \(1+\left(\frac{2a+\sqrt{a}-1}{1-a}-\frac{2a\sqrt{a}-\sqrt{a}+a}{1-a\sqrt{a}}\right)\frac{a-\sqrt{a}}{2\sqrt{a-1}}\)
Giúp em với mọi người ơi, em đang cần gấp lắm!!!