A rational terminating decimal is a decimal number that ends after a certain number of digits. Let's evaluate each option:
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√64: The square root of 64 is 8, which is a whole number and can be represented as 8.0. Therefore, this is a rational, terminating decimal.
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5 over 11 (5/11): When you divide 5 by 11, you get a repeating decimal (0.454545...), which does not terminate.
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0.363636...: This is also a repeating decimal (0.36 repeating), which does not terminate.
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7 over 9 (7/9): Dividing 7 by 9 results in a repeating decimal (0.7777...), which again does not terminate.
The only option that qualifies as a rational, terminating decimal is √64, which equals 8.