2019 Mock AMC 10B Problems/Problem 3

After trying each option we have $\[\]$ A) $3^\frac{2018}{3}$ which is irrational as 2018 is not divisible by 3 $\[\]$ B) $3^\frac{2019}{2}$ which is irrational 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 $\[\]$ D) $(2pi)^2$ equals $4pi^2$ , which is irrational $\[\]$ E) $(3-\sqrt{2})(3+\sqrt{2})=9-2=7$ which is rational We have $\boxed{\bold{E}}$ $(3-\sqrt{2})(3+\sqrt{2})$

Page

Toolbox

Search

2019 Mock AMC 10B Problems/Problem 3