2019 Mock AMC 10B Problems/Problem 3

After trying each option we have $\[\]$ A) $3^(2018/3)$ which isn't rational as 2018 is not divisible by 3 $<cmath></cmath>B)$ 3^(2019/2) $which isn't rational as 2019 isn't divisible by 2$ $\[\]$ C) $3^2+\sqrt{2}^2+6\sqrt{2}$ which equals $11+6\sqrt{2}$ which is irrational $<cmath></cmath>D)$ (2pi)^2 $equals$ 4pi^2 $which is irrational$ $\[\]$ E) $(3-\sqrt{2})(3+\sqrt{2})=9-2=7$ which is rational $We have$ \boxed{\bold{E}}$$ (Error compiling LaTeX. Unknown error_msg)(3-\sqrt{2})(3+\sqrt{2})$

Page

Toolbox

Search

2019 Mock AMC 10B Problems/Problem 3