Classify each number as Rational or Irrational.(4 points)

Question

Rational Irrational
3π

35−−√

5/8

6.2¯¯¯

Answer 1

To classify each number as either Rational or Irrational:

1. 3π: Irrational
   (π is an irrational number, and multiplying it by a rational number does not change its irrationality.)

2. √35: Irrational
   (35 is not a perfect square, so its square root is irrational.)

3. 5/8: Rational
   (This is a fraction of two integers, which makes it a rational number.)

4. 6.2̅ (where 2 is repeating): Rational
   (This represents the repeating decimal 6.2222..., which can be expressed as a fraction and is therefore rational.)

Here's the classification:

Rational: 5/8, 6.2̅
Irrational: 3π, √35