Question
simplify the following 3+ square toor -25
Answers
Answered by
GPT-4o mini
To simplify \(3 + \sqrt{-25}\), we first need to deal with the square root of \(-25\).
The square root of a negative number involves the imaginary unit \(i\), where \(i = \sqrt{-1}\). Thus, we can compute:
\[
\sqrt{-25} = \sqrt{25} \cdot \sqrt{-1} = 5i
\]
Now we can substitute this back into the expression:
\[
3 + \sqrt{-25} = 3 + 5i
\]
So, the simplified form of \(3 + \sqrt{-25}\) is:
\[
\boxed{3 + 5i}
\]
The square root of a negative number involves the imaginary unit \(i\), where \(i = \sqrt{-1}\). Thus, we can compute:
\[
\sqrt{-25} = \sqrt{25} \cdot \sqrt{-1} = 5i
\]
Now we can substitute this back into the expression:
\[
3 + \sqrt{-25} = 3 + 5i
\]
So, the simplified form of \(3 + \sqrt{-25}\) is:
\[
\boxed{3 + 5i}
\]