Select the correct classifications for 32−−√

Question

.

_______ number

_______ decimal​​​​​​​

Answer 1

The square root of 32, denoted as \( \sqrt{32} \), can be analyzed in terms of its classifications:

1. Number type:

   • \( \sqrt{32} \) is an irrational number. This is because it cannot be expressed as a fraction of two integers. Specifically, \( \sqrt{32} \) can be simplified as \( 4\sqrt{2} \), and since \( \sqrt{2} \) is an irrational number, \( \sqrt{32} \) remains irrational.

2. Decimal type:

   • \( \sqrt{32} \) can be approximated as a decimal. It is approximately equal to \( 5.656854 \). Therefore, it can be classified as a decimal since it has a decimal representation.

Putting these together, the classifications for \( \sqrt{32} \) are:

• Irrational number
• Decimal

If you meant to fill those in:

_______ number: irrational
_______ decimal: decimal