Select all the rational numbers. Multi-select Choices: (A)-2 (B)sqrt 2 (C)sqrt 9 (D)root(3) 64

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) -2. -2 can be written as -2/1, where both -2 and 1 are integers.Evaluate Choice (B): Step 3: Evaluate Choice (B) sqrt(2). sqrt(2) is an irrational number because it cannot be expressed as a fraction of two integers.Evaluate Choice (C): Step 4: Evaluate Choice (C) sqrt(9). sqrt(9) equals 3, which can be written as 3/1; hence, it is a rational number.Evaluate Choice (D): Step 5: Evaluate Choice (D) root(3)(64). root(3)(64) equals 4, which can be written as 4/1; therefore, it is a rational number.

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Select all the rational numbers. $\newline$ Multi-select Choices: $\newline$ (A) $-2$ $\newline$ (B) $\sqrt{2}$ $\newline$ (C) $\sqrt{9}$ $\newline$ (D) $\sqrt[3]{64}$

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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)

-2

\newline

(B)

\sqrt{2}

\newline

(C)

\sqrt{9}

\newline

(D)

\sqrt[3]{64}

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) $-2$ . $\newline$ $-2$ can be written as $-\frac{2}{1}$ , where both $-2$ and $1$ are integers.
Evaluate Choice (B): Step $3$ : Evaluate Choice (B) $\sqrt{2}$ . $\sqrt{2}$ is an irrational number because it cannot be expressed as a fraction of two integers.
Evaluate Choice (C): Step $4$ : Evaluate Choice (C) $\sqrt{9}$ . $\sqrt{9}$ equals $3$ , which can be written as $\frac{3}{1}$ ; hence, it is a rational number.
Evaluate Choice (D): Step $5$ : Evaluate Choice (D) $\sqrt[3]{64}$ . $\sqrt[3]{64} = 4$ , which can be written as $\frac{4}{1}$ ; therefore, it is a rational number.