1) \(\dfrac{\sqrt{5}-\sqrt{3}}{\sqrt{2}}\)
2)\(\dfrac{\sqrt{x}+1}{\sqrt{x}-2}+\dfrac{2\sqrt{x}}{\sqrt{x}+2}+\dfrac{2+5\sqrt{x}}{4-x}\)
1) \(\dfrac{\sqrt{5}-\sqrt{3}}{\sqrt{2}}\)
2)\(\dfrac{\sqrt{x}+1}{\sqrt{x}-2}+\dfrac{2\sqrt{x}}{\sqrt{x}+2}+\dfrac{2+5\sqrt{x}}{4-x}\)
RÚT GỌN
a.\(\dfrac{1}{\sqrt{x+2\sqrt{x-1}}}+\dfrac{1}{\sqrt{x-2\sqrt{x-1}}}\)
b. \(\dfrac{1}{2\sqrt{3}+\sqrt{9+4\sqrt{5}}}-\dfrac{1}{2\sqrt{3}-\sqrt{9-4\sqrt{5}}}\)
Câu 1
A=(\(\dfrac{1}{1-\sqrt{x}}\)+\(\dfrac{x+2}{x\sqrt{x}-1}\)+\(\dfrac{\sqrt{x}}{x+\sqrt{x}+1}\)):\(\dfrac{\sqrt{x}-1}{5}\)
Câu2
A=(\(\dfrac{x\sqrt{x}-1}{x-\sqrt{x}}\)-\(\dfrac{x\sqrt{x}+1}{x+\sqrt{x}}\)):\(\dfrac{2\left(x-2\sqrt{x}+1\right)}{x-1}\) (vơi x>0,x≠1)
câu3
L=(\(\dfrac{\sqrt{a}-2}{a-1}\)-\(\dfrac{\sqrt{a}+2}{a+2\sqrt{a}+1}\)).(1+\(\dfrac{1}{\sqrt{a}}\)) (với a>0,a≠1)
mong các cao nhân giải giúp✿
giải các bước chi tiết ạ
cảm ơn mọi người nhiều
C=\([1-\dfrac{\sqrt{x}}{1+\sqrt{x}}][\dfrac{\sqrt{x}+3}{\sqrt{x}-2}+\dfrac{2+\sqrt{x}}{3-\sqrt{x}}+\dfrac{\sqrt{x}+2}{x-5\sqrt{x}+6}1]\)
Rút gọn biểu thức
A=\(\dfrac{2\sqrt{x}-9}{x-5\sqrt{x}+6}\)- \(\dfrac{\sqrt{x}+1}{\sqrt{x}-2}\)+\(\dfrac{2\sqrt{x}+1}{3-\sqrt{x}}\)
giải giùm mik bài này
Rút gọn
A=\(\sqrt{7}-4\sqrt{3}+\sqrt{4}-2\sqrt{3}\)
B=(\(2+\frac{5-\sqrt{5}}{\sqrt{5}-1}\)) (\(2-\frac{5+\sqrt{5}}{\sqrt{5}+1}\))
C=(\(\sqrt{3}+1\))\(\frac{\sqrt{14}-6\sqrt{3}}{5+\sqrt{3}}\)
Cho P=(\(\sqrt{x}-\frac{1}{\sqrt{x}}):\frac{\sqrt{x}-1}{\sqrt{x}}+\frac{1-\sqrt{x}}{x+\sqrt{x}}\))
a)CmR: P >0,V x>o, x≠1
b) Tính P khi x=\(\frac{2}{2+\sqrt{3}}\)
c)Tìm x để P\(\sqrt{x}\) =6\(\sqrt{x}\) - 3-\(\sqrt{x}-4\)
\(\dfrac{\sqrt{x}-1}{\sqrt{x}+1}-\dfrac{\sqrt{x}+3}{\sqrt{x}-2}-\dfrac{x+5}{x-\sqrt{x}-2}\) giải giúp nhé
a, Tính: \(A=\dfrac{2}{2+\sqrt{5}}-\sqrt{9-2\sqrt{20}}+\sqrt[3]{5\sqrt{5}}\)
b, Cho biểu thức: \(B=\left(\dfrac{2}{2\sqrt{x}-1}+\dfrac{3}{\sqrt{x}+2}-\dfrac{2\sqrt{x}}{2x+3\sqrt{x}-2}\right).\dfrac{2\sqrt{x}-\sqrt{x}}{6\sqrt{x}+4}\) với \(\left\{{}\begin{matrix}x\ge0\\x\ne\dfrac{1}{4}\end{matrix}\right.\)
\(\dfrac{\sqrt{x}+2}{\sqrt{x}-3}-\dfrac{\sqrt{x}+1}{\sqrt{x}-2}-3\dfrac{\sqrt{x}-1}{x-5\sqrt{x}+6}\) giải giúp nhé