gia su a,b la 2 so huu ti duong va khong phai la binh phuong cua mot so huu ti
chung minh rang :neu x,y la hai so huu ti sao cho \(m=x\sqrt{a}+y\sqrt{b}\)la so huu ti thi m=0
cho 3 so huu ti a;b;c thoa man 1/a+1/b=1/c
c/m \(\sqrt{a^2+b^2+c^2}\) la so huu ti
Cho phuong trinh \(ax^2+bx+1=0\) voi a,b la cac so huu ti.Tim a,b biet \(x=\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}\)la nghiem cua phuong trinh
cho 3 so huu ti phan biet c/m
\(\sqrt{\frac{1}{\left(x-4\right)^2}+\frac{1}{\left(y-z\right)^2}+\frac{1}{\left(z-x\right)^2}}\) la so huu ti
tim so nguyen x sao cho \(\sqrt{x^2+7x}\)la so huu ti
Tim cac gia tri nguyen duong cua m de \(\sqrt{m^2+m+23}\) la so huu ti
Xet xem cac so a va b co the la so vo ti k neu
A)a+b va a-b la cac so huu ti
B)a-b va ab la cac so huu ti
Cho \(\sqrt{a}+\sqrt{b}\) la so huu ti, a + b la so tu nhien. Chung minh \(\sqrt{a},\sqrt{b}\)la so tu nhien
Cho a,b,c la cac so thuc t/m (a+2)(b+2)=25/4
Tim gia tri nho nhat cua \(F=\sqrt{1+a^4}+\sqrt{1+b^4}\)