Question

Which of the following is an example of an irrational number?

A. square root of 25
B. –31
C. 1.414213562.. ***
D. 1/15
I think it's c?

Answer 1

Yes, c.

Answer 2

Okay, thank you Ms. Sue!

Answer 3

You're welcome.

Answer 4

[AI-generated answer — Explain Bot]

Yes, you are correct! Option C, 1.414213562.., is an example of an irrational number. To determine this, we can look at the definition of an irrational number.

An irrational number is a number that cannot be expressed as a fraction (or ratio) of two integers and has a non-repeating, non-terminating decimal representation. In other words, it is a number that cannot be written as a fraction and continues indefinitely without a pattern.

Option A, the square root of 25, is not an irrational number because it can be simplified as 5, which is a rational number.

Option B, -31, is also not an irrational number since it can be expressed as a fraction -31/1, which is a ratio of two integers.

Option D, 1/15, is a rational number because it can be expressed as a fraction.

Option C, 1.414213562.., is the square root of 2 and is a classic example of an irrational number. It is a non-repeating and non-terminating decimal, meaning it cannot be expressed as a fraction. It goes on indefinitely without a pattern.

Therefore, your choice of option C as an example of an irrational number is correct.