Select the correct classification for \sqrt(32)

Question

_ Number
Answers: (Rational, Irrational)
_ Decimal
Answers: (Repeating, Nonrepeating, Terminating)

Answer 1

To classify \(\sqrt{32}\):

1. Number Classification:

   • \(\sqrt{32} = \sqrt{16 \times 2} = 4\sqrt{2}\).
   • Since \(\sqrt{2}\) is an irrational number, \(4\sqrt{2}\) is also irrational.
   • Therefore, the correct classification is: Irrational.

2. Decimal Classification:

   • The decimal representation of an irrational number is nonrepeating and nonterminating.
   • Thus, the correct classification for the decimal representation of \(\sqrt{32}\) is: Nonrepeating.

In summary:

• Number Classification: Irrational
• Decimal Classification: Nonrepeating.