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