Question

Factors of √225

Answer 1

are the factors rational or irrational?

Answer 2

To find the factors of \( \sqrt{225} \), we first calculate \( \sqrt{225} \):

\[
\sqrt{225} = 15
\]

Next, we determine the factors of 15. The factors of a number are the integers that can be multiplied together to produce that number.

The factors of 15 are:
- 1
- 3
- 5
- 15

So, the factors of \( \sqrt{225} \) (which is 15) are \( 1, 3, 5, \) and \( 15 \).

Answer 3

The factors of \( \sqrt{225} = 15 \) are \( 1, 3, 5, \) and \( 15 \). All of these factors are rational numbers because they can be expressed as fractions where the denominator is a non-zero integer. For example:

- \( 1 = \frac{1}{1} \)
- \( 3 = \frac{3}{1} \)
- \( 5 = \frac{5}{1} \)
- \( 15 = \frac{15}{1} \)

In general, all whole numbers (like 1, 3, 5, and 15) are considered rational numbers. Thus, the factors of \( \sqrt{225} \) are rational.