QuestionAugust 25, 2025

12. Select all the numbers that are rational. 3 2+2 (7)/(10) 3sqrt (2)

12. Select all the numbers that are rational. 3 2+2 (7)/(10) 3sqrt (2)
12. Select all the numbers that are rational. 3 2+2 (7)/(10) 3sqrt (2)

Solution
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Answer

3, 2+2, \frac{7}{10} 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. 2. Evaluate Each Option - **3**: An integer, which is a rational number. - **2+2**: Equals 4, an integer, hence rational. - **\frac{7}{10}**: Already in the form of \frac{a}{b}, so it's rational. - **3\sqrt{2}**: \sqrt{2} is irrational, thus 3\sqrt{2} is also 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 /><br />2. Evaluate Each Option<br /> - **3**: An integer, which is a rational number.<br /> - **$2+2$**: Equals 4, an integer, hence rational.<br /> - **$\frac{7}{10}$**: Already in the form of $\frac{a}{b}$, so it's rational.<br /> - **$3\sqrt{2}$**: $\sqrt{2}$ is irrational, thus $3\sqrt{2}$ is also irrational.
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