Cho bieu thuc: \(p=\left(\frac{1}{\sqrt{x}-\sqrt{x-1}}-\frac{x-3}{\sqrt{x-1}-\sqrt{2}}\right)\left(\frac{2}{\sqrt{2}-\sqrt{x}}-\frac{\sqrt{x}+\sqrt{2}}{\sqrt{2x}-x}\right)\)
a) Tim DKXD cua bieu thuc p
b) Rut gon bieu thuc p
tim GTNN cua bieu thuc :
\(x^2-4\sqrt{x}-7\)
Cho bieu thuc P=\(\frac{a^2+\sqrt{a}}{a-\sqrt{a}+1}-\frac{2a+\sqrt{a}}{\sqrt{a}}+1\)
Rut gon bieu thuc P ( lam rui ) Biet a>1 Hay so sanh P voi tri tuyet doi cua P ( chua lam )Tim GTNN cua P ( chua lam )
Tim GTLN cua bieu thuc sau \(\frac{2}{\frac{-\sqrt{x}}{x+\sqrt{x}+1}}+\sqrt{x}\)
Tim GTLN ,GTNN cua bieu thuc :A=\(\frac{x+1}{x^2+x+1}\)
TIM GTNN cua bieu thuc
2x-\(3\sqrt{x}\)+4
Voi x>=-2.Tim GTNN cua bieu thuc N=x^2+2x+1/(x+2)
Tim GTLN cua bieu thuc: Q = \(\frac{-\left(\sqrt{x}+2\right)^2}{\sqrt{x}}\)
Cho x,y la cac so thuc duong. Tim gia tri nho nhat cua bieu thuc:
\(P=\frac{xy}{x^2+y^2}+\left(\frac{1}{x}+\frac{1}{y}\right)\sqrt{2\left(x^2+y^2\right)}\)