To determine which numbers are rational, we need to identify numbers that can be expressed as the quotient of two integers (i.e., in the form a/b, where a and b are integers and b is not zero).
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\( \sqrt{70} \): This is an irrational number because 70 is not a perfect square.
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\( \sqrt{32} \): This is also irrational because it can be simplified to \( \sqrt{16} \cdot \sqrt{2} = 4\sqrt{2} \), and \(\sqrt{2}\) is irrational.
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4.52525252...: This is a repeating decimal, which is rational. It can be expressed as a fraction.
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π (pi): This is known to be an irrational number.
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1217: This is an integer and therefore rational (it can be expressed as \( 1217/1 \)).
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\( \sqrt{16} \): This is equal to 4, which is a rational number.
Based on this analysis, the rational numbers from the choices provided are:
- 4.52525252...
- 1217
- \( \sqrt{16} \)
So, the three rational numbers are:
- 4.52525252...
- 1217
- \( \sqrt{16} \)
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