alleryStart learning →The square root of 72 simplifies because 72 contains which perfect square factor?
ASeventy-two
BSeventeen
CNineteen
DThirty-six
Answer & Solution
Correct answer: D. Thirty-six
1. Simplifying means finding a perfect square hidden inside the radicand.
2. A square root is simplified if its radicand contains no perfect square factors.
3. The Product Property removes all perfect square factors from a radical.
4. Seventy-two factors as thirty-six times two.
5. Thirty-six is a perfect square, so it comes out of the radical.
_Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 9 'Roots and Radicals', sections 9.1-9.8_
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