Question

Which of the following is a rational number?
Responses
A square root of 97
B square root of 14
C square root of 18
D square root of 36

Answer 1

A rational number is a number that can be expressed as a fraction \(\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q \neq 0\).

Now, let's evaluate the options:

A. Square root of 97: \(\sqrt{97}\) is not a rational number because 97 is not a perfect square.

B. Square root of 14: \(\sqrt{14}\) is not a rational number because 14 is not a perfect square.

C. Square root of 18: \(\sqrt{18}\) can be simplified to \(3\sqrt{2}\), which is also not a rational number because \(\sqrt{2}\) is irrational.

D. Square root of 36: \(\sqrt{36} = 6\), which is a rational number because it can be expressed as \(\frac{6}{1}\).

Thus, the correct answer is **D. square root of 36**.