alleryStart learning →What restriction does an even root place on the domain of a rule?
AThe radicand cannot be zero
BThe radicand must be whole
CThe radicand must be positive
DThe radicand cannot be negative
Answer & Solution
Correct answer: D. The radicand cannot be negative
1. An even root of a negative number is not a real number.
2. So every input that makes the expression under the root negative has to be excluded.
3. Set the radicand greater than or equal to zero and solve to get the domain.
4. A radicand of exactly zero is allowed, since the even root of zero is zero.
_Source: OpenStax College Algebra (CC BY 4.0), section 3.2 Domain and Range_
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