Let's classify each of the given numbers:
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6.2 (goes on forever): This number is a repeating decimal (more precisely, a non-terminating repeating decimal), which makes it a Rational number. Rational numbers can be represented as a fraction of two integers.
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3π: Since π (pi) is an irrational number, multiplying it by the rational number 3 does not change its nature. Therefore, 3π is also an Irrational number.
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Square root of 35: The square root of 35 cannot be expressed as a fraction of two integers because 35 is not a perfect square. Thus, the square root of 35 is also an Irrational number.
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5/8: This is a fraction where both the numerator (5) and the denominator (8) are integers, making it a Rational number.
In summary:
- 6.2 (goes on forever): Rational
- 3π: Irrational
- Square root of 35: Irrational
- 5/8: Rational