Is the following number rational or irrational? sqrt28 Choose 1 answer: (A) Rational (B) Irrational

Evaluate prime factorization: Evaluate the prime factorization of 28 to see if it is a perfect square. 28 = 2 * 14 28 = 2 * 2 * 7 28 = 2^2 * 7Simplify square root of 28: Determine if the square root of 28 can be simplified to a whole number. Since 28 is not a perfect square (as 7 is not a perfect square), sqrt(28) cannot be simplified to a whole number.Identify rational or irrational: Identify whether sqrt(28) is a rational or irrational number. A rational number can be expressed as a fraction of two integers (with a non-zero denominator), and an irrational number cannot be expressed as such a fraction. Since sqrt(28) cannot be simplified to a fraction of two integers, it is an irrational number.

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Is the following number rational or irrational?

sqrt28
Choose 1 answer:
(A) Rational
(B) Irrational

Is the following number rational or irrational? $\newline$ $\sqrt{28}$ $\newline$ 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{28}

\newline

Choose

1

answer:

\newline

(A) Rational

\newline

(B) Irrational

Evaluate prime factorization: Evaluate the prime factorization of $28$ to see if it is a perfect square. $28 = 2 \times 14$ $28 = 2 \times 2 \times 7$ $28 = 2^2 \times 7$
Simplify square root of $28$ : Determine if the square root of $28$ can be simplified to a whole number. $\newline$ Since $28$ is not a perfect square (as $7$ is not a perfect square), $\sqrt{28}$ cannot be simplified to a whole number.
Identify rational or irrational: Identify whether $\sqrt{28}$ is a rational or irrational number. $\newline$ A rational number can be expressed as a fraction of two integers (with a non-zero denominator), and an irrational number cannot be expressed as such a fraction. Since $\sqrt{28}$ cannot be simplified to a fraction of two integers, it is an irrational number.