Select all the numbers that are irrational. Multi-select Choices: (A)sqrt 2 (B)sqrt 3 (C)sqrt 5 (D)sqrt 4 (E)sqrt 6

Understand irrational number definition: Step 1: Understand the definition of an irrational number. An irrational number cannot be expressed as a simple fraction; it's decimal form neither terminates nor repeats. Evaluate each choice: Step 2: Evaluate each choice: - (A) sqrt(2): The square root of 2 is known to be irrational because it cannot be expressed as a fraction and its decimal form is non-repeating and non-terminating. - (B) sqrt(3): Similar to sqrt(2), sqrt(3) is irrational. - (C) sqrt(5): This is also an irrational number, following the same reasoning as sqrt(2) and sqrt(3). - (D) sqrt(4): This equals 2, which is a rational number because it can be expressed as the fraction 2/1. - (E) sqrt(6): Like sqrt(2), sqrt(3), and sqrt(5), sqrt(6) is irrational.

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Select all the numbers that are irrational. $\newline$ Multi-select Choices: $\newline$ (A) $\sqrt{2}$ $\newline$ (B) $\sqrt{3}$ $\newline$ (C) $\sqrt{5}$ $\newline$ (D) $\sqrt{4}$ $\newline$ (E) $\sqrt{6}$

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Math Problems

Grade 8

Checkpoint: Rational and irrational numbers

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Q. Select all the numbers that are irrational.

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Multi-select Choices:

\newline

(A)

\sqrt{2}

\newline

(B)

\sqrt{3}

\newline

(C)

\sqrt{5}

\newline

(D)

\sqrt{4}

\newline

(E)

\sqrt{6}

Understand irrational number definition: Step $1$ : Understand the definition of an irrational number. An irrational number cannot be expressed as a simple fraction; it's decimal form neither terminates nor repeats.
Evaluate each choice: Step $2$ : Evaluate each choice: $\newline$ - (A) $\sqrt{2}$ : The square root of $2$ is known to be irrational because it cannot be expressed as a fraction and its decimal form is non-repeating and non-terminating. $\newline$ - (B) $\sqrt{3}$ : Similar to $\sqrt{2}$ , $\sqrt{3}$ is irrational. $\newline$ - (C) $\sqrt{5}$ : This is also an irrational number, following the same reasoning as $\sqrt{2}$ and $\sqrt{3}$ . $\newline$ - (D) $\sqrt{4}$ : This equals $2$ , which is a rational number because it can be expressed as the fraction $2$ $0$ . $\newline$ - (E) $2$ $1$ : Like $\sqrt{2}$ , $\sqrt{3}$ , and $\sqrt{5}$ , $2$ $1$ is irrational.