Last Updated on May 10, 2023
Let’s simplify the expressions in each Roman numeral to see which of them must be an integer.
I.
(√82 + √82)^2
(2√82)^2
4 x 82 = 328
I is an integer.
II.
82 * √82
82√82
II is not an integer since √82 is not an integer.
III.
(√82 * √82)/82
82/82 = 1
III is an integer.
Answer: Both I and III can be written as an integer.
Scott Woodbury-Stewart is the founder & CEO of Target Test Prep. A passionate teacher who is deeply invested in the success of his students, Scott began his career teaching physics, chemistry, math, and biology. Since then, he has spent more than a decade helping students gain entry into the world’s top business schools, logging 10,000+ hours of GMAT, EA, GRE and SAT instruction. Scott also served as lead content developer and curriculum architect for the revolutionary courses Target Test Prep GMAT, Target Test Prep EA, Target Test Prep GRE and Target Test Prep SAT Quant.
