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.

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We need to find the real number $$ x $$ such that

$$
x^4 = -1.
$$

1. For any real number $$ x $$, raising it to the fourth power gives a non-negative result because $$ x^4 \geq 0 $$ for all $$ x \in \mathbb{R} $$.

2. Since $$-1$$ is negative, there is no real value of $$ x $$ that satisfies the equation.

Thus, the fourth root of $$-1$$ does not represent a real number.

B. The root is not a real number.
The fourth root of $$-1$$ is not a real number.

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.

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