Violympic toán 9
Các câu hỏi tương tự
Rut gon A= \(\dfrac{\sqrt{1-\sqrt{1-x^2}}.\left\{\sqrt{\left(x+1\right)^3}+\sqrt{\left(1-x\right)^3}\right\}}{2-\sqrt{1-x^2}}\)
\(B=\left(\frac{\left(x-2\right)}{x+2\sqrt{x}}+\frac{1}{\sqrt{x}+2}\right).\frac{\left(\sqrt{x}+1\right)}{\sqrt{x}-1}\) rut gon
1) a) Rut gon \(A=\frac{\sqrt{x}+1}{\sqrt{x}-2}+\frac{2\sqrt{x}}{\sqrt{x}+2}+\frac{2+5\sqrt{x}}{4-x}\left(x\ge0\right),x\ne4\)
rut gon
a) \(A=\left(\frac{x+\sqrt{x}+1}{x+\sqrt{x}-2}-\frac{1}{1-\sqrt{x}}+\frac{1}{\sqrt{x}+2}\right)\)
Cho P = \(\left(\dfrac{1}{\sqrt{x}+1}-\dfrac{2\sqrt{x}-2}{x\sqrt{x}-\sqrt{x}+x-1}\right)\): \(\left(\dfrac{1}{\sqrt{x}-1}+\dfrac{2}{x-1}\right)\)
a/ Tim DKXD va rut gon P
b/ Tim cac gia tri nguyen cua x de P co gia tri nguyen
A =\(\left(\dfrac{\sqrt{a}+2}{2-\sqrt{a}}+\dfrac{\sqrt{a}}{\sqrt{a}+2}-\dfrac{4a+2\sqrt{a}-4}{a-4}\right):\left(\dfrac{-2}{2-\sqrt{a}}+\dfrac{2+\sqrt{a}}{2\sqrt{a}-a}\right)\)
voi a > 0 a\(\ne\) 4
a) rut gon
b) A=\(\sqrt{a}+2\)
\(E=\left(\frac{\sqrt{a}-2}{a-1}-\frac{\sqrt{a}+2}{a+2\sqrt{a}+1}\right):\frac{2}{\left(1-a\right)^2}\)
A. Rut gon E
B. Tim Max E
Mn giúp em với ạ, em cảm ơn ;-;
Rut gon P = \(\dfrac{3+\sqrt{5}}{2\sqrt{2}+\sqrt{3+\sqrt{5}}}+\dfrac{3-\sqrt{5}}{2\sqrt{2}-\sqrt{3-\sqrt{5}}}\)
\(A=\frac{\sqrt{x}+4}{\sqrt{x}+2};B=\left(\frac{\sqrt{x}}{\sqrt{x}+4}+\frac{4}{\sqrt{x}-4}\right):\frac{x+16}{\sqrt{x}+2}\)
a. rut gon B
b. Tim x nguyen de P = B(A-1) nguyen
giup minh voi a