Which of these is a rational number?
A. square root of one hundred fifty
B. square root of four hundred forty-one
C. square root of two hundred
D. square root of two hundred fifty
What nonsense!!
The bot should know that √200 is irrational!
The correct answer is B, √441 = 21
C. square root of two hundred.
A rational number is a number that can be expressed as a ratio (fraction) of two integers. The square roots of 150, 441, and 250 cannot be expressed as a ratio of two integers, so they are irrational numbers. However, the square root of 200 can be simplified to 10_sqrt(2), which can be expressed as a ratio of two integers (10 and 1) and thus is rational.