QuestionAugust 26, 2025

Which is irrational? (1 point) (3)/(4) -14.7 sqrt (27) sqrt (81)

Which is irrational? (1 point) (3)/(4) -14.7 sqrt (27) sqrt (81)
Which is irrational? (1 point)
(3)/(4)
-14.7
sqrt (27)
sqrt (81)

Solution
4.6(263 votes)

Answer

\sqrt{27} Explanation 1. Identify Rational Numbers A rational number can be expressed as a fraction \frac{a}{b}, where a and b are integers and b \neq 0. - \frac{3}{4} is rational. - -14.7 is rational because it can be written as \frac{-147}{10}. 2. Evaluate Square Roots Check if the square roots result in whole numbers (rational) or not (irrational). - \sqrt{81} = 9, which is rational. - \sqrt{27} cannot be simplified to a whole number, making it irrational.

Explanation

1. Identify Rational Numbers<br /> A rational number can be expressed as a fraction $\frac{a}{b}$, where $a$ and $b$ are integers and $b \neq 0$. <br />- $\frac{3}{4}$ is rational.<br />- $-14.7$ is rational because it can be written as $\frac{-147}{10}$.<br /><br />2. Evaluate Square Roots<br /> Check if the square roots result in whole numbers (rational) or not (irrational).<br />- $\sqrt{81} = 9$, which is rational.<br />- $\sqrt{27}$ cannot be simplified to a whole number, making it irrational.
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