(2 points)

Question

Select the correct classifications for 32−−√
.

irrational rational

number

repeating nonrepeating
terminating

decimal​​​​​​​

Answer 1

The expression \( \sqrt{32} \) can be classified as follows:

1. Rational or Irrational:

   • \( \sqrt{32} \) is an irrational number because it cannot be expressed as a fraction of two integers. (It can be simplified to \( 4\sqrt{2} \), which is still irrational.)

2. Repeating, Nonrepeating, or Terminating Decimal:

   • Since \( \sqrt{32} \) is an irrational number, its decimal representation is nonrepeating and nonterminating.

Thus, the correct classifications are:

• Irrational
• Nonrepeating (and nonterminating).