Question
Simplify. If an expression does not represent a real number, state so. \( \sqrt[4]{-1} \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( \sqrt[4]{-1}=\square \) (Type an integer.) B. The root is not a real number.
Ask by Perkins Mejia. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The fourth root of \(-1\) is not a real number.
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The Deep Dive
In the realm of real numbers, taking the fourth root of a negative number like \(-1\) does not yield a solution. This is because a real number raised to an even power (like 4) can never be negative. Therefore, we conclude that the expression represents an imaginary number instead. So, the correct choice is B. The root is not a real number.