To determine which of the given numbers are rational, we need to remember that a rational number can be expressed as the quotient of two integers (i.e., as a fraction).
Let's evaluate each option:
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√32 (square root of 32) - This is not a rational number, as it cannot be expressed as a fraction of two integers (it is approximately 5.657).
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4.52525252... - This is a repeating decimal, which can be expressed as a fraction (specifically, 4.52... is rational).
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12/17 - This is a fraction where both numerator and denominator are integers, so it is a rational number.
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√70 (square root of 70) - Similar to √32, this is not a rational number (approximately 8.366).
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√16 (square root of 16) - This equals 4, which is a whole number and can be expressed as 4/1, so it is rational.
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π - This is an irrational number, as it cannot be expressed as a fraction of two integers.
Based on this evaluation, the rational numbers among the options given are:
- 4.52525252...
- 12/17
- √16
So the three numbers that are rational are 4.52525252..., 12/17, and √16.