Choose the correct description of the number set. (4 points)

Question

(-7.4, 0, 3.232323..., √25)
（√2,√15， ）
(-⅚ , ⅞, π/2)
(V8, 19, 110)
•: Rational numbers only
:: Irrational numbers only
:: Both Rational and Irrational numbers

Answer 1

Let's analyze each set of numbers:

1. (-7.4, 0, 3.232323..., √25)

   • -7.4: Rational
   • 0: Rational
   • 3.232323...: Rational (it's a repeating decimal)
   • √25: Rational (since √25 = 5)
   • This set contains only rational numbers.
   • Description: Rational numbers only

2. (√2, √15)

   • √2: Irrational
   • √15: Irrational
   • This set contains only irrational numbers.
   • Description: Irrational numbers only

3. (-⅚, ⅞, π/2)

   • -⅚: Rational
   • ⅞: Rational
   • π/2: Irrational (since π is irrational)
   • This set contains both rational and irrational numbers.
   • Description: Both Rational and Irrational numbers

4. (√8, 19, 110)

   • √8: Irrational (since √8 = 2√2, and √2 is irrational)
   • 19: Rational
   • 110: Rational
   • This set contains both rational and irrational numbers.
   • Description: Both Rational and Irrational numbers

To summarize:

1. Set 1: Rational numbers only
2. Set 2: Irrational numbers only
3. Set 3: Both Rational and Irrational numbers
4. Set 4: Both Rational and Irrational numbers