Bài 2:
a: \(A=2\sqrt{7}-1+\left(\sqrt{7}+4\right)\)
\(=2\sqrt{7}-1+\sqrt{7}+4=3\sqrt{7}+3\)
b: \(B=\sqrt{x-1+2\sqrt{x-1}+1}+\sqrt{x-1-2\sqrt{x-1}+1}\)
\(=\sqrt{x-1}+1+1-\sqrt{x-1}=2\)
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) \(B=\dfrac{1}{2}\sqrt{x^2}+\sqrt{x^2-2x+1}\)
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) \(B=\dfrac{1}{2}\sqrt{x^2}+\sqrt{x^2-2x+1}\)
Giup minh nhe!!
1. Rut gon bieu thuc:
a) \(A=\sqrt{x-2+2\sqrt{x-3}}+\sqrt{x+6+6\sqrt{x-3}}voix>=3\)
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
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.\(\sqrt{\dfrac{1}{-1+x}}\)
tim x de bieu thuc sau co nghia
\(\dfrac{1}{\sqrt{2x-x^2}}\)
Giải phương trình:
a)\(\sqrt{x+8+2\sqrt{x+7}}+\sqrt{x+1-\sqrt{x+7}}=4\)
b)\(\sqrt{x+\sqrt{2x-5}-2}+\sqrt{x-3\sqrt{2x-5}+2}=2\sqrt{2}\)
Tìm x
d, \(\sqrt{x-2\sqrt{x-1}=\sqrt{x-1}-1}\)
e, \(\sqrt{1-12x+36x^2}=5\)
g, \(\sqrt{23+8\sqrt{7}}-\sqrt{7}=4\)
