alleryStart learning →Checking whether the radicand is a perfect square first can save work because it may make the root:
AImpossible to compute
BNegative in value
CLarger than before
DExact with no radical
Answer & Solution
Correct answer: D. Exact with no radical
1. The first check can end the problem immediately.
2. Whenever you simplify a square root, first determine whether the radicand is a perfect square.
3. If it is, the root is a whole number.
4. No radical sign is then needed in the answer.
5. Otherwise the Product Property removes any perfect square factors instead.
_Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 9 'Roots and Radicals', sections 9.1-9.8_
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