Which is irrational?(1 point)Responses81−−√square root of 81343 fourths−14.7negative 14 point 727−−√

Answer 1

To determine which of the given numbers is irrational, we can analyze each option:

1. \( \sqrt{81} \) - This is equal to 9, which is a rational number.
2. \( \frac{343}{4} \) - This is equal to 85.75, which is also a rational number.
3. \(-14.7\) - This is a rational number because it can be expressed as \(-\frac{147}{10}\).
4. \(-\sqrt{72}\) - Since \( \sqrt{72} = \sqrt{36 \cdot 2} = 6\sqrt{2} \), and \( \sqrt{2} \) is irrational, \(-\sqrt{72}\) is also irrational.

Thus, the choice that is irrational is \(-\sqrt{72}\).