# Which of the following expressions can be…

# Solution:

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.**

#### About The Author

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 instruction. Scott also served as lead content developer and curriculum architect for the revolutionary quant course Target Test Prep GMAT Quant.