Select the correct description for each number set.(4 points)

a) (25−−√, 9, −−−√64−−√
)

b) ( -2.4, 0, 3.1, 81−−√
)

c) (−2/3, 7/9, π/2
)

d) (12−−√, 11−−√, π
)

The answer choices are:

1. Only Rational Numbers
2. Only Irrational Numbers
3. Both Rational & Irrational Numbers

Note: Put the answer choice in the set that it matches.

1 answer

Let's analyze each number set to determine the correct description:

a) (25,9,64)

  • 25=5 (rational)
  • 9 (rational)
  • 64=8 (rational) This set contains only rational numbers. Answer: 1. Only Rational Numbers

b) (2.4,0,3.1,81)

  • 2.4 (rational)
  • 0 (rational)
  • 3.1 (rational)
  • 81=9 (rational) This set contains only rational numbers. Answer: 1. Only Rational Numbers

c) (23,79,π2)

  • 23 (rational)
  • 79 (rational)
  • π2 (irrational) This set contains both rational and irrational numbers. Answer: 3. Both Rational & Irrational Numbers

d) (12,11,π)

  • 12 (irrational)
  • 11 (irrational)
  • π (irrational) This set contains only irrational numbers. Answer: 2. Only Irrational Numbers

So, the answers are:

  • a) 1. Only Rational Numbers
  • b) 1. Only Rational Numbers
  • c) 3. Both Rational & Irrational Numbers
  • d) 2. Only Irrational Numbers