Which of the following are irrational numbers? Multi-select Choices: (A)sqrt 10 (B)2 (C)0 (D)𝜋

Define Irrational Numbers: Understand the definition of irrational numbers. Irrational numbers are numbers that cannot be expressed as a simple fraction, meaning their decimal form is non-repeating and infinite.Evaluate sqrt(10): Evaluate each choice. (A) sqrt(10) - The square root of 10 cannot be expressed as a simple fraction, and its decimal form is non-repeating and infinite.Check Choice (B): Check the next choice. (B) 2 - This is an integer and can be expressed as a fraction (2/1), so it is not irrational.Evaluate Choice (C): Evaluate choice (C). (C) 0 - Zero is a whole number and can be expressed as a fraction (0/1), so it is not irrational.Look at Choice (D): Look at choice (D). (D) 𝜋 - Pi is well-known as an irrational number because it cannot be expressed as a simple fraction and its decimal expansion is non-repeating and infinite.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which of the following are irrational numbers? $\newline$ Multi-select Choices: $\newline$ (A) $\sqrt{10}$ $\newline$ (B) $2$ $\newline$ (C) $0$ $\newline$ (D) $\pi$

View step-by-step help

Full solution

Q. Which of the following are irrational numbers?

\newline

Multi-select Choices:

\newline

(A)

\sqrt{10}

\newline

(B)

2

\newline

(C)

0

\newline

(D)

\pi

Define Irrational Numbers: Understand the definition of irrational numbers. Irrational numbers are numbers that cannot be expressed as a simple fraction, meaning their decimal form is non-repeating and infinite.
Evaluate $\sqrt{10}$ : Evaluate each choice. $\newline$ (A) $\sqrt{10}$ - The square root of $10$ cannot be expressed as a simple fraction, and its decimal form is non-repeating and infinite.
Check Choice (B): Check the next choice. $\newline$ (B) $2$ - This is an integer and can be expressed as a fraction ( $2/1$ ), so it is not irrational.
Evaluate Choice (C): Evaluate choice (C). $\newline$ (C) $0$ - Zero is a whole number and can be expressed as a fraction $(0/1)$ , so it is not irrational.
Look at Choice (D): Look at choice (D).
(D) $\pi$ - Pi is well-known as an irrational number because it cannot be expressed as a simple fraction and its decimal expansion is non-repeating and infinite.