Difference between revisions of "2019 Mock AMC 10B Problems/Problem 3"
(Created page with "After trying each option we have <cmath></cmath>A) <math>3^(2018/3)</math> which isn't rational as 2018 is not divisible by 3 <cmath></cmath>B) <math>3^(2019/2)</math> which...") |
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After trying each option we have | After trying each option we have | ||
− | <cmath></cmath>A) <math>3^(2018/3)</math> which isn't rational as 2018 is not divisible by 3 | + | <cmath></cmath>A) <math>3^(2018/3)</math> which isn't rational as 2018 is not divisible by 3<math> |
− | <cmath></cmath>B) <math>3^(2019/2)< | + | <cmath></cmath>B) </math>3^(2019/2)<math> which isn't rational as 2019 isn't divisible by 2</math> |
− | <cmath></cmath>C) <math>3^2+\sqrt{2}^2+6\sqrt{2}</math> which equals <math>11+6\sqrt{2}</math> which is irrational | + | <cmath></cmath>C) <math>3^2+\sqrt{2}^2+6\sqrt{2}</math> which equals <math>11+6\sqrt{2}</math> which is irrational<math> |
− | <cmath></cmath>D) <math>(2pi)^2< | + | <cmath></cmath>D) </math>(2pi)^2<math> equals </math>4pi^2<math> which is irrational</math> |
− | <cmath></cmath>E) <math>(3-\sqrt{2})(3+\sqrt{2})=9-2=7</math> which is rational | + | <cmath></cmath>E) <math>(3-\sqrt{2})(3+\sqrt{2})=9-2=7</math> which is rational<math> |
− | We have <math>\boxed{\bold{E}}< | + | We have </math>\boxed{\bold{E}}<math> </math>(3-\sqrt{2})(3+\sqrt{2})$ |
Revision as of 00:36, 23 September 2019
After trying each option we have A) which isn't rational as 2018 is not divisible by 33^(2019/2) C) which equals which is irrational(2pi)^24pi^2 E) which is rational\boxed{\bold{E}}$$ (Error compiling LaTeX. Unknown error_msg)(3-\sqrt{2})(3+\sqrt{2})$