Select all the rational numbers. Multi-select Choices: (A)6 (B)-13 (C)sqrt 144 (D)root(3) 8

Define rational number: Step 1: Define a rational number. A rational number can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero. Evaluate Choice (A): Step 2: Evaluate Choice (A) - 6. 6 can be expressed as 6/1, where both 6 and 1 are integers. Therefore, 6 is a rational number. Evaluate Choice (B): Step 3: Evaluate Choice (B) - -13. -13 can be expressed as -13/1, where -13 and 1 are integers. Therefore, -13 is a rational number. Evaluate Choice (C): Step 4: Evaluate Choice (C) - sqrt(144). sqrt(144) equals 12, since 12 * 12 = 144. 12 can be expressed as 12/1, which makes it a rational number. Evaluate Choice (D): Step 5: Evaluate Choice (D) - root(3) 8. root(3) 8 equals 2, since 2 * 2 * 2 = 8. 2 can be expressed as 2/1, which makes it a rational number.

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Select all the rational numbers. $\newline$ Multi-select Choices: $\newline$ (A) $6$ $\newline$ (B) $-13$ $\newline$ (C) $\sqrt{144}$ $\newline$ (D) $\sqrt[3]{8}$

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Math Problems

Algebra 2

Simplify the product of two radical expressions having same variable

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Q. Select all the rational numbers.

\newline

Multi-select Choices:

\newline

(A)

6

\newline

(B)

-13

\newline

(C)

\sqrt{144}

\newline

(D)

\sqrt[3]{8}

Define rational number: Step $1$ : Define a rational number. $\newline$ A rational number can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero.
Evaluate Choice (A): Step $2$ : Evaluate Choice (A) - $6$ . $6$ can be expressed as $\frac{6}{1}$ , where both $6$ and $1$ are integers. Therefore, $6$ is a rational number.
Evaluate Choice (B): Step $3$ : Evaluate Choice (B) - $-13$ . $-13$ can be expressed as $-13/1$ , where $-13$ and $1$ are integers. Therefore, $-13$ is a rational number.
Evaluate Choice (C): Step $4$ : Evaluate Choice (C) - $\sqrt{144}$ . $\sqrt{144}$ equals $12$ , since $12 \times 12 = 144$ . $12$ can be expressed as $\frac{12}{1}$ , which makes it a rational number.
Evaluate Choice (D): Step $5$ : Evaluate Choice (D) - $\sqrt[3]{8}$ . $\sqrt[3]{8} = 2$ , since $2 \times 2 \times 2 = 8$ . $2$ can be expressed as $\frac{2}{1}$ , which makes it a rational number.