\(\frac{\sqrt{a}-\sqrt{b}-\sqrt{ab}\left(\sqrt{a}-\sqrt{b}\right)}{ab-1}=\frac{\left(1-\sqrt{ab}\right)\left(\sqrt{a}-\sqrt{b}\right)}{\left(\sqrt{ab}-1\right)\left(\sqrt{ab}+1\right)}\)
\(=-\frac{\sqrt{a}-\sqrt{b}}{\sqrt{ab}+1}=\frac{\sqrt{b}-\sqrt{a}}{\sqrt{ab}+1}\)
Rút gọn biểu thức:
A= \(\left(\frac{1}{\sqrt{a}+\sqrt{b}}+\frac{3\sqrt{ab}}{a\sqrt{a}+b\sqrt{b}}\right).\left[\left(\frac{1}{\sqrt{a}-\sqrt{b}}-\frac{3\sqrt{ab}}{a\sqrt{a}-b\sqrt{b}}\right):\frac{a-b}{a+\sqrt{ab}+b}\right]\)
Rút gọn biểu thức:
A= \(\left(\frac{1}{\sqrt{a}+\sqrt{b}}+\frac{3\sqrt{ab}}{a\sqrt{a}+b\sqrt{b}}\right).\left[\left(\frac{1}{\sqrt{a}-\sqrt{b}}-\frac{3\sqrt{ab}}{a\sqrt{a}-b\sqrt{b}}\right):\frac{a-b}{a+\sqrt{ab}+b}\right]\)
Rút gọn \(\left(\frac{\sqrt{a}+\sqrt{b}}{1-\sqrt{ab}}+\frac{\sqrt{a}-\sqrt{b}}{1+\sqrt{ab}}\right):\left(1+\frac{a+b+2ab}{1-ab}\right)\)
RÚT GỌN CÁC BIỂU THỨC SAU
\(A=\left(\sqrt{ab}+2\sqrt{\frac{b}{a}}-\sqrt{\frac{a}{b}+\sqrt{\frac{1}{ab}}}\right)\sqrt{ab}\)
\(B=\frac{\sqrt{a}+a\sqrt{a}-\sqrt{b}-b\sqrt{a}}{ab-1}\)
RÚT GỌN:
\(\frac{2}{\sqrt{ab}}:\left(\frac{1}{\sqrt{a}}+\frac{1}{\sqrt{b}}\right)^2+\frac{a+b}{a+2\sqrt{ab}+\sqrt{b}}\)
rút gọn
1,\(\sqrt{\frac{\sqrt{a}+1}{\sqrt{b}-1}}:\sqrt{\frac{\sqrt{b}+1}{\sqrt{a}-1}}\)
2, \(\frac{a\sqrt{b}+b\sqrt{a}}{\sqrt{ab}}:\frac{1}{\sqrt{a}-\sqrt{b}}\)
B=\(\left(\frac{\sqrt{a}+1}{\sqrt{ab}+1}+\frac{\sqrt{ab}+\sqrt{a}}{\sqrt{ab}-1}-1\right):\left(\frac{\sqrt{a}+1}{\sqrt{ab}+1}-\frac{\sqrt{ab}+\sqrt{a}}{\sqrt{ab}-1}+-\right)\)Rút gọn biểu thức
Rút gọn biểu thức:
\(\left(\sqrt{a}+\frac{b-\sqrt{ab}}{\sqrt{a}+\sqrt{b}}\right)\div\left(\frac{a}{\sqrt{ab}+b}+\frac{b}{\sqrt{ab}-a}-\frac{a+b}{\sqrt{ab}}\right)\)
rút gọn: \(\frac{a\sqrt{b}+b}{a-b}\sqrt{\frac{ab+b^2-2\sqrt{ab^3}}{a\left(a+2\sqrt{b}\right)+b}}:\frac{1}{\sqrt{a}+\sqrt{b}}\)
rút gọn: \(\frac{a\sqrt{b}+b}{a-b}\sqrt{\frac{ab+b^2-2\sqrt{ab^3}}{a\left(a+2\sqrt{b}\right)+b}}:\frac{1}{\sqrt{a}+\sqrt{b}}\)
