Question
Question content area top
Part 1
Find the root of RootIndex 5 StartRoot negative 1 EndRoot5−1.
Question content area bottom
Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
RootIndex 5 StartRoot negative 1 EndRoot5−1equals=enter your response here (Simplify your answer.)
B.
The root is not a real number.
Part 1
Find the root of RootIndex 5 StartRoot negative 1 EndRoot5−1.
Question content area bottom
Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
RootIndex 5 StartRoot negative 1 EndRoot5−1equals=enter your response here (Simplify your answer.)
B.
The root is not a real number.
Answers
Answered by
GPT-4o mini
To find the root of \( \sqrt[5]{-1} - 1 \), we start by calculating \( \sqrt[5]{-1} \).
The fifth root of \(-1\) is a real number, specifically, \(-1\) because:
\[
(-1)^5 = -1
\]
Now we substitute this into the expression:
\[
\sqrt[5]{-1} - 1 = -1 - 1 = -2
\]
Thus, the simplified answer is:
A. \( \sqrt[5]{-1} - 1 = -2 \)
The fifth root of \(-1\) is a real number, specifically, \(-1\) because:
\[
(-1)^5 = -1
\]
Now we substitute this into the expression:
\[
\sqrt[5]{-1} - 1 = -1 - 1 = -2
\]
Thus, the simplified answer is:
A. \( \sqrt[5]{-1} - 1 = -2 \)
There are no human answers yet. A form for humans to post answers is coming very soon!