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cho A = \(\frac{3}{\sqrt{x}-2}\)
tim cac gia tri cua x de A co gia tri nguyen
cho biểu thức \(p=\left(1+\frac{\sqrt{a}}{a+1}\right):\left(\frac{1}{\sqrt{a}-1}-\frac{2\sqrt{a}}{a\sqrt{a}+\sqrt{a}-a-1}\right)\)
a) rút gọn p
b) tim gia tri cua a de p<1
tim gia tri cua p neu a = \(19-8\sqrt{3}\)
\(A=\frac{\sqrt{X}-X+1}{1-\sqrt{x}}\) Tim gia tri cua x de A nguyen
Bai 1)Cho bieu thuc A=\(\frac{x+y-2\sqrt{xy}}{x-y}\)
a)Tim dieu kien de A co nghia
b)Rut gon A
c)Tinh A biet x=\(3+2\sqrt{2}\)va y=\(3-2\sqrt{2}\)
Bai 2) Cho bieu thuc B=\(\frac{x-3}{\sqrt{x-1}-\sqrt{2}}\)
a)Tim dieu kien de B co nghia
b)Rut gon B
c) Tinh B voi x=\(4\left(2-\sqrt{3}\right)\)
d)Tim x de B co gia tri nho nhat
Cho bieu thuc :
A=\(\frac{\sqrt{x}-1}{\sqrt{x}+1}-\frac{\sqrt{x}+3}{\sqrt{x}-2}-\frac{x+5}{x-\sqrt{x}+2}\)
a.Rut gon A
b.Tim gia tri cua x de A <-1
C.Tìm giá trị của x để A nguyen
Cho A \(\left(\frac{x-\sqrt{x}}{\sqrt{x}-1}+\frac{\sqrt{x}+1}{X+\sqrt{X}}\right):\frac{\sqrt{X}+1}{X}\)
a)Tìm dk cua x de A co nghia
b)Rut gon A
c)Tim gia tri nho nhat cua A
tim gia tri cua x thuoc Z de cac bieu thuc sau co gia tri nguyen :a) \(\frac{\sqrt{x}+5}{\sqrt{x}+1}\)
b) \(\frac{\sqrt{x}+2}{\sqrt{x}-2}\)
\(Q=\left(\frac{1}{\sqrt{a}-1}-\frac{1}{\sqrt{a}}\right):\left(\frac{\sqrt{a}+1}{\sqrt{a}-2}-\frac{\sqrt{a}+2}{\sqrt{a}-1}\right)\)
a) Rut gon voi \(a>0,a\ne4;a\ne1\)
b) Tim gia tri cua a de Q duong
Cho bieu thuc P = \(\frac{x-\sqrt{x}}{x+\sqrt{x}+1}\) --\(\frac{2x+\sqrt{x}}{\sqrt{x}}\)+\(\frac{2\left(x-1\right)}{\sqrt{x}-1}\)
a) rut gon P
b) tim x de Q=\(\frac{2\sqrt{x}}{P}\)nhan gia tri nguyen
