alleryStart learning →The first step when simplifying a square root is to determine whether the radicand is a:
APerfect square
BNegative number
CPrime number
DMixed number
Answer & Solution
Correct answer: A. Perfect square
1. Simplifying starts with one quick check.
2. The Quotient Property is used to simplify square roots.
3. Whenever you have to simplify a square root, take a first step.
4. That step is to determine whether the radicand is a perfect square.
_Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 9 'Roots and Radicals', sections 9.1-9.8_
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Complete the radical rulesWork the square rootsStack the radical rulesSort the parts of a radicalPull the rope to perfect square or notChecking whether the radicand is a perfect square first can save work because it may make Assuming every variable is non-negative allows which notation to be omitted next to radicaTwo radicals that look unlike but simplify to the same radicand can then be: