Is the following number rational or irrational? sqrt32 Choose 1 answer: (A) Rational (B) Irrational

Evaluate square root of 32: Evaluate the square root of 32. sqrt(32) = sqrt(16 * 2) = sqrt(16) * sqrt(2) = 4 * sqrt(2)Identify rationality of 4 * sqrt(2): Identify whether 4 * sqrt(2) is a rational or irrational number. Since sqrt(2) is a known irrational number and the product of a rational number (4) and an irrational number (sqrt(2)) is irrational, 4 * sqrt(2) is irrational.

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Is the following number rational or irrational?

sqrt32
Choose 1 answer:
(A) Rational
(B) Irrational

Is the following number rational or irrational? $\newline$ $\sqrt{32}$ $\newline$ Choose $1$ answer: $\newline$ (A) Rational $\newline$ (B) Irrational

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Math Problems

Algebra 2

Classify rational and irrational numbers

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Q. Is the following number rational or irrational?

\newline

\sqrt{32}

\newline

Choose

1

answer:

\newline

(A) Rational

\newline

(B) Irrational

Evaluate square root of $32$ : Evaluate the square root of $32$ . $\newline$ $\sqrt{32}$ $\newline$ = $\sqrt{16 \times 2}$ $\newline$ = $\sqrt{16}$ $\times$ $\sqrt{2}$ $\newline$ = $4 \times \sqrt{2}$
Identify rationality of $4 \cdot \sqrt{2}$ : Identify whether $4 \cdot \sqrt{2}$ is a rational or irrational number. $\newline$ Since $\sqrt{2}$ is a known irrational number and the product of a rational number ( $4$ ) and an irrational number ( $\sqrt{2}$ ) is irrational, $4 \cdot \sqrt{2}$ is irrational.