a) \(4-2\sqrt{3}=\left(\sqrt{3}+1\right)^2\)
b)\(7+4\sqrt{3}=\left(2+\sqrt{3}\right)^2\)
a) \(4-2\sqrt{3}=\left(\sqrt{3}+1\right)^2\)
b)\(7+4\sqrt{3}=\left(2+\sqrt{3}\right)^2\)
1. Tim GTNN cua bieu thuc:
\(A=\dfrac{1}{2}\sqrt{x^2}+\sqrt{x^2-2x+1}\)
2. Rut gon bieu thuc:
a) \(A=\sqrt{29-4\sqrt{7}}+\sqrt{23+8\sqrt{7}}\)
b)\(B=\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}},voix>=2\)
Giup minh nhe!!
1. Rut gon bieu thuc:
a) \(A=\sqrt{11-6\sqrt{2}}+3+\sqrt{2}\)
b) \(B=\sqrt{12+2\sqrt{11}}+\sqrt{12-2\sqrt{11}}\)
2. Rut gon bieu thuc:
a) \(A=\sqrt{x-2+2\sqrt{x-3}}+\sqrt{x+6+6\sqrt{x-3}},voix>=3\)
3. Tim GTNN cua bieu thuc:
a) \(A=\sqrt{4x^2-12x+9}+\sqrt{x^2-10x+25}+\sqrt{9x^2-6x+1}+\sqrt{16x^2-72x+81}\)
b) \(B=\dfrac{1}{2}\sqrt{x^2}+\sqrt{x^2-2x+1}\)
Giúp mình nhé!!
2. Rut gon bieu thuc:
a) \(A=\sqrt{x-2+2\sqrt{x-3}}+\sqrt{x+6+6\sqrt{x-3}},voix>=3\)
3. Tim GTNN cua bieu thuc:
a) \(A=\sqrt{4x^2-12x+9}+\sqrt{x^2-10x+25}+\sqrt{9x^2-6x+1}+\sqrt{16x^2-72x+81}\)
b) \(B=\dfrac{1}{2}\sqrt{x^2}+\sqrt{x^2-2x+1}\)
tim ginn cua bieu thuc P=\(\sqrt{\dfrac{x^2}{4}+\sqrt{ }x^2-4}+\sqrt{\dfrac{x^2}{4}-\sqrt{x^2-4}}\)
1,tim x de bieu thuc sau co nghia \(\sqrt{x+\dfrac{3}{x}}+\sqrt{-3x}\)
b,\(\sqrt{x^2+4x+5}\)
c,\(\sqrt{2x^2+4x+5}\)
2, phan tich thanh nhan tu
a,\(x+5\sqrt{x}+6\) b,\(x+4\sqrt{x}+3\)
GIUP MINH VS MINH CAN GAP MINH CAM ON TRUOC NHA
Giup minh nhe!!
1. Rut gon bieu thuc:
a) \(A=\sqrt{x-2+2\sqrt{x-3}}+\sqrt{x+6+6\sqrt{x-3}}voix>=3\)
1.voi gia tri nao cua x thi moi can thuc sau co nghia
a.\(\sqrt{\dfrac{x}{3}}\)
b.\(\sqrt{-5x}\)
c.\(\sqrt{4-x}\)
d.\(\sqrt{3x+7}\)
2. tìm x de moi can thuc sau co nghia
a.\(\sqrt{2x+7}\)
b.\(\sqrt{-3x+4}\)
c.\(\sqrt{\dfrac{1}{-1+x}}\)
a) A = (sqrt(7) + sqrt(3))/(sqrt(7) - sqrt(3)) + (sqrt(7) - sqrt(3))/(sqrt(7) + sqrt(3)) b) B = 2sqrt(27) + sqrt((1 - sqrt(3)) ^ 2) - 4/(sqrt(2))
Tính giá trị các biểu thức sau:
\(A=\sqrt{9-4\sqrt{5}}-\sqrt{9+4\sqrt{5}}\)
\(B=\left(11-4\sqrt{3}\right)\left(11+4\sqrt{3}\right)\)
\(C=\sqrt{4-2\sqrt{3}}+\sqrt{7+4\sqrt{3}}\)