b1: rút gọn biểu thức:
\(A=\frac{1-\frac{1}{\sqrt{49}}+\frac{1}{49}-\frac{1}{\left(7.\sqrt{7}\right)^2}}{\frac{\sqrt{64}}{2}-\frac{4}{7}+\left(\frac{2}{7}\right)^2-\frac{4}{343}}\)
b2: tìm x, y, z thỏa mãn:
\(\sqrt{\left(x-\sqrt{2}\right)^2}_{ }\)+ \(\sqrt{\left(y+\sqrt{2}\right)^2}^{ }\)+ |x+y+z| = 0
nhanh nhé, ai đúng mk t*** cho !!!
Cho các số dương x,y,z . Chứng minh BĐT :
\(\frac{\left(x+1\right)\left(y+1\right)^2}{3\sqrt[3]{z^2x^2}+1}+\frac{\left(y+1\right)\left(z+1\right)^2}{3\sqrt[3]{x^2y^2}+1}+\frac{\left(z+1\right)\left(x+1\right)^2}{3\sqrt[3]{y^2z^2}+1}\ge x+y+z+3\)
ko bt lm thi đừng CMT tầm bậy nhé !
Tìm x;y;z biết \(\sqrt{\left(x-\sqrt{2}\right)^2}+\sqrt{\left(y+\sqrt{2}\right)^2}+\left|x+y+z\right|=0\)
tim x,y,z biet \(\sqrt{\left(x-\sqrt{5}\right)^2}+\sqrt{\left(y+\sqrt{3}\right)^2}+\left|x-y-z\right|\)
\(\sqrt{\left(x-2024\right)^2}+\left|x+y-4z\right|+y^2.\sqrt{5}=0\left(x,y,z\inℝ\right)\)
TÌM x , y, z
Giải hệ phương trình (ẩn số x,y,z):\(\hept{\begin{cases}x+y+z=6\left(1\right)\\x^2+y^2+z^2=18\left(2\right)\\\sqrt{x}+\sqrt{y}+\sqrt{z}=4\left(3\right)\end{cases}.}\)
Tìm x,y,z
\(\sqrt{\left(x-\sqrt{2}\right)^2}+\sqrt{\left(x-\sqrt{2}\right)^2}+\left(x+y+z=0\right)\)
Tìm các số x,y,z thỏa mãn đẳng thức:\(\sqrt{\left(x-\sqrt{2}\right)^2}+\sqrt{\left(y+\sqrt{2}\right)^2}+\left|x+y+z\right|=0\)| = 0
Cho \(x,y,z\in Q\); \(x^2+y^2+z^2=3\); \(x=\sqrt{y\left(2x-y\right)}\); \(y=\sqrt{z\left(2y-z\right)}\); \(z=\sqrt{x\left(2z-x\right)}\)
Chứng minh : \(\sqrt{\left(3-x^2\right)\left(3-y^2\right)\left(3-z^2\right)}=2\sqrt{2}.xyz\)