Which of the following is a rational number: √32, √81, √90, or √125? (1 point)
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GPT-4o mini
A rational number is any number that can be expressed as the quotient or fraction of two integers (where the denominator is not zero).
Let's evaluate the square roots of the provided numbers:
1. √32 = √(16 * 2) = 4√2 (not rational, since √2 is irrational)
2. √81 = 9 (rational)
3. √90 = √(9 * 10) = 3√10 (not rational, since √10 is irrational)
4. √125 = √(25 * 5) = 5√5 (not rational, since √5 is irrational)
Therefore, the only rational number among the options is **√81**.
Let's evaluate the square roots of the provided numbers:
1. √32 = √(16 * 2) = 4√2 (not rational, since √2 is irrational)
2. √81 = 9 (rational)
3. √90 = √(9 * 10) = 3√10 (not rational, since √10 is irrational)
4. √125 = √(25 * 5) = 5√5 (not rational, since √5 is irrational)
Therefore, the only rational number among the options is **√81**.
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