Các câu hỏi tương tự
1/ Tim x, y nguyen duong thoa man: \(y=\sqrt[3]{18+\sqrt{x+100}}+\sqrt[3]{18-\sqrt{x+100}}\)
Tim cac so x, y la cac so nguyen thoa man: \(\frac{2}{x+y\sqrt{5}}-\frac{3}{x-y\sqrt{5}}=-9-20\sqrt{5}\)
1. Tim x,y,z biet: \(\frac{1}{2}\left(x+y+z\right)-3=\sqrt{x-2}+\sqrt{y-3}+\sqrt{z-4}\)
2. Chox,y,z > 0 thoa man \(x+y+z+\sqrt{xyz}=4\) . Tinh \(A=\sqrt{x\left(4-y\right)\left(4-z\right)+\sqrt{y\left(4-z\right)\left(4-x\right)}+\sqrt{z\left(4-x\right)\left(4-y\right)}-\sqrt{xyz}}\)
cho x,y thoa man 0<x<1, 0<y<1 CM\(x+y+x\sqrt{1-y^2}+y\sqrt{1-x^2}=< \frac{3\sqrt{3}}{2}\)
Cho 3 so duong thoa man\(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1\) . Chung minh rang \(\sqrt{x+yz}+\sqrt{y+zx}+\sqrt{z+xy}\)lon hon hoac bang\(\sqrt{xyz}+\sqrt{x}+\sqrt{y}+\sqrt{z}\)
a) tim GTNN, GTLN cua A = \(\sqrt{\left(x-1\right)}\)+\(\sqrt{\left(5-x\right)}\)
b) cho cac so duong x,y thoa man x+y>=3
CM: x+y+1/2x+2/y>=9/2
a) tim GTNN cua A = \(\sqrt{\left(x-1\right)}\)+ \(\sqrt{\left(5+x\right)}\)
b) cho cac so dang x, y thoa man x+y>=3
CM: x+y + 1/2x+ 2/y >= 9/2
Rút gọna.left(2sqrt{x}+sqrt{2x}right)left(sqrt{x}-sqrt{2x}right)b. left(sqrt{3x}+sqrt{2x}right)left(3sqrt{x}-sqrt{6x}right)c.left(frac{4}{3}sqrt{3}+sqrt{2}sqrt{3frac{1}{3}}right)left(sqrt{1,2}+sqrt{2}-4sqrt{frac{1}{3}}right)-2d.left(2sqrt{x}+sqrt{y}right)left(3sqrt{x}-2sqrt{y}right)(x,y lớn hơn hoặc bằng 0)e.left(sqrt{x}+sqrt{y}right)left(x-sqrt{x}sqrt{y}+sqrt{y}right) (x,y lớn hơn hoặc bằng 0)
Đọc tiếp
Rút gọn
a.\(\left(2\sqrt{x}+\sqrt{2x}\right)\left(\sqrt{x}-\sqrt{2x}\right)\)
b. \(\left(\sqrt{3x}+\sqrt{2x}\right)\left(3\sqrt{x}-\sqrt{6x}\right)\)
c.\(\left(\frac{4}{3}\sqrt{3}+\sqrt{2}\sqrt{3\frac{1}{3}}\right)\left(\sqrt{1,2}+\sqrt{2}-4\sqrt{\frac{1}{3}}\right)-2\)
d.\(\left(2\sqrt{x}+\sqrt{y}\right)\left(3\sqrt{x}-2\sqrt{y}\right)\)(x,y lớn hơn hoặc bằng 0)
e.\(\left(\sqrt{x}+\sqrt{y}\right)\left(x-\sqrt{x}\sqrt{y}+\sqrt{y}\right)\) (x,y lớn hơn hoặc bằng 0)
1.Tìm x,y thuộc \(ℕ\)thỏa: \(\sqrt{x+2\sqrt{3}}=\sqrt{y}+\sqrt{x}\)
2.Tìm các số hữu tỉ x,y thỏa: \(\sqrt{2\sqrt{3}-3}=\sqrt{3x\sqrt{3}}-\sqrt{y\sqrt{3}}\)
3. Tìm tất cả các giá trị x,y,z sao cho:
\(\sqrt{x}+\sqrt{y-z}+\sqrt{z-x}=\frac{1}{2}\left(y+3\right)\)
Làm được câu nào cx tick nha ( mik cs 3 nick)