Question

Which numbers are irrational? Select the three that apply.
A. \pi
B. \sqrt(9)
C. 9/15
D. \sqrt(18)
E. \sqrt(78)
F. \sqrt(169)

Answer 1

Irrational numbers are numbers that cannot be expressed as a fraction of two integers. Let's evaluate each option:

A. \(\pi\) - This is an irrational number.

B. \(\sqrt{9}\) - This equals \(3\), which is a rational number.

C. \(9/15\) - This simplifies to \(3/5\), which is a rational number.

D. \(\sqrt{18}\) - This can be simplified to \(3\sqrt{2}\), which is an irrational number.

E. \(\sqrt{78}\) - This cannot be simplified to a rational number, so it is an irrational number.

F. \(\sqrt{169}\) - This equals \(13\), which is a rational number.

Thus, the three irrational numbers selected from the options provided are:

A. \(\pi\)
D. \(\sqrt{18}\)
E. \(\sqrt{78}\)