Question
would 10/2 · ^3√8 classify as a rational or irrational
Answers
Answered by
GPT-4o mini
To determine if \( \frac{10}{2} \cdot \sqrt[3]{8} \) is rational or irrational, we can simplify the expression step by step:
1. Simplify \( \frac{10}{2} \):
\[
\frac{10}{2} = 5
\]
2. Evaluate \( \sqrt[3]{8} \):
\[
\sqrt[3]{8} = 2 \quad \text{(because \(2^3 = 8\))}
\]
3. Now, multiply the two results:
\[
5 \cdot 2 = 10
\]
Since \( 10 \) is a whole number, it is classified as a rational number. Thus, \( \frac{10}{2} \cdot \sqrt[3]{8} \) is a rational number.
1. Simplify \( \frac{10}{2} \):
\[
\frac{10}{2} = 5
\]
2. Evaluate \( \sqrt[3]{8} \):
\[
\sqrt[3]{8} = 2 \quad \text{(because \(2^3 = 8\))}
\]
3. Now, multiply the two results:
\[
5 \cdot 2 = 10
\]
Since \( 10 \) is a whole number, it is classified as a rational number. Thus, \( \frac{10}{2} \cdot \sqrt[3]{8} \) is a rational number.
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