Rational and Irrational Numbers Quick Check

Question

Which of the following is irrational? (1 point)

⦿ √3/4
⦿ 3.636363636363636363…
⦿ -7 8/37
⦿ 52.781654292

Answer 1

Among the options provided, the irrational number is:

⦿ √3/4

The remaining options are rational numbers:

• 3.636363636363636363… is a repeating decimal, which makes it rational.
• -7 8/37 is a mixed number, which is also rational.
• 52.781654292 is a terminating decimal, which is rational.

So the only one that is irrational is √3/4, due to the presence of the square root of 3, which is an irrational number.