Which numbers are rational? Check the three that apply.(3 points)Responses36−−√square root of 36112311 over 232.72 point 7πpi14−−√square root of 1472−−√

1 answer

To determine which numbers are rational, let's analyze each choice:

  1. \(\sqrt{36}\): The square root of 36 is 6, which is a rational number since it can be expressed as the fraction \(6/1\).

  2. \(11/23\): This is already in the form of a fraction, which makes it rational.

  3. \(2.7\): This decimal can also be expressed as the fraction \(27/10\), so it is rational.

  4. \(\pi\): Pi is an irrational number and cannot be expressed as a fraction of two integers.

  5. \(\sqrt{14}\): The square root of 14 is also an irrational number because 14 is not a perfect square.

So, the three rational numbers from the list are:

  • \(\sqrt{36}\)
  • \(11/23\)
  • \(2.7\)

Thus, the correct responses are:

  • \( \sqrt{36} \)
  • \( 11/23 \)
  • \( 2.7 \)