8) Which of the following numbers is not rational?
(A) -2002
(B) $8^{\frac{2}{3}}$
(C) $\sqrt{0.49}$
(D) $100^{0.5}$
(E) $1000^{0.1}$
8) The answer is $(\mathbf{E})$. Indeed, $1000^{0.1}=\sqrt[10]{1000}$, which is not rational. It is also verified that -2002 is even an integer, $8^{\frac{2}{3}}=\sqrt[3]{64}=4$ which is an integer, $\sqrt{0.49}=0.7$ which is rational, and $100^{0.5}=\sqrt{100}=10$.