Các câu hỏi tương tự
A(frac{left(sqrt{x}-1right)left(x+sqrt{x}+1right)}{sqrt{x}left(sqrt{x}-1right)}-frac{left(sqrt{x}+1right)left(x-sqrt{x}+1right)}{sqrt{x}left(sqrt{x}+1right)}):(frac{2left(sqrt{x}-1right)^2}{x-1}left(frac{x+sqrt{x}+1-left(x-sqrt{x}+1right)}{sqrt{x}}right).frac{sqrt{x}+1}{2left(sqrt{x}-1right)}frac{2sqrt{x}}{sqrt{x}}.frac{sqrt{x}+1}{2left(sqrt{x}-1right)}frac{sqrt{x}+1}{sqrt{x}-1}
Đọc tiếp
A=(\(\frac{\left(\sqrt{x}-1\right)\left(x+\sqrt{x}+1\right)}{\sqrt{x}\left(\sqrt{x}-1\right)}\)-\(\frac{\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)}{\sqrt{x}\left(\sqrt{x}+1\right)}\)):(\(\frac{2\left(\sqrt{x}-1\right)^2}{x-1}\)
=\(\left(\frac{x+\sqrt{x}+1-\left(x-\sqrt{x}+1\right)}{\sqrt{x}}\right).\frac{\sqrt{x}+1}{2\left(\sqrt{x}-1\right)}\)
=\(\frac{2\sqrt{x}}{\sqrt{x}}.\frac{\sqrt{x}+1}{2\left(\sqrt{x}-1\right)}\)=\(\frac{\sqrt{x}+1}{\sqrt{x}-1}\)
\(y=\frac{1}{x^2+\sqrt{x}}\sqrt[]{}\sqrt{\sqrt[]{}\sqrt[]{}\frac{\frac{\frac{\frac{ }{ }}{ }}{ }}{ }}\)
$\sqrt{4x^2+5x+1}+2\sqrt{x^2-x+1}=3-9x$
Câu 10:
Cho \(\frac{1}{\sqrt{2}+x}\cdot\frac{1}{\sqrt{2}+y}=a\)
Và \(\frac{1}{\sqrt{2}+x}+\frac{1}{\sqrt{2+y}}=b\)
Tìm x + y ( theo a và b )
27 tháng 7 2020 lúc 20:32
Chứng minh rằng :
a) \(\frac{\left(a+b\right)^2}{2}+\frac{a+b}{4}\ge a\sqrt{b}+b\sqrt{a}\)với \(a,b\ge0\)
b) \(\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{c+a}}+\sqrt{\frac{c}{a+b}}>2\)với \(a,b,c>0\)
6 tháng 8 2020 lúc 10:27
Cho a,b,c là các số thực dương. CMR:
\(\frac{1}{2a+b+\sqrt{8bc}}-\frac{8}{\sqrt{2b^2+2\left(a+c\right)^2+3}}\ge\frac{-3}{2}\)
Cho a,b,c thực dương .CMR
\(\sqrt{\frac{\left(a+b\right)^3}{ab\left(4a+4b+c\right)}}+\sqrt{\frac{\left(b+c\right)^3}{bc\left(4b+4c+a\right)}}+\sqrt{\frac{\left(c+a\right)^3}{ca\left(4c+4c+b\right)}}\ge2\sqrt{2}\)
tinh gia tri bieu thuc a = \(\sqrt{4+\sqrt[3]{8}+\frac{2}{3}}+3^{10}\frac{1}{1\times2}+\frac{1}{2\times3}+...+\frac{1}{99\times100}\)
tinh gia tri bieu thuc a = \(\sqrt{4+\sqrt[3]{8+\frac{2}{3}+3^{10}\frac{1}{1\times2}+\frac{1}{2\times3}+...+\frac{1}{99\times100}}}\)