Express in terms of i.
StartRoot negative 7 EndRoot
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Part 1
StartRoot negative 7 EndRootequals
  
enter your response here
​(Simplify your answer. Type your answer in the form aplusbi​.)

To express \(\sqrt{-7}\) in terms of \(i\):

Recall that:
\[
\sqrt{-a} = i\sqrt{a}
\]

Thus:
\[
\sqrt{-7} = i\sqrt{7}
\]

So the expression simplifies to:
\[
\sqrt{-7} = i\sqrt{7}
\]

This is in the form \(a + bi\), where \(a = 0\) and \(b = \sqrt{7}\). Therefore, the simplified answer is:
\[
0 + i\sqrt{7}
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How would you simplify \(\sqrt{-9}\)?
2. What is the result of \((2 + 3i) + (4 - i)\)?
3. How do you multiply two complex numbers, such as \((3 + 2i)(1 + i)\)?
4. What is the magnitude of \(3 + 4i\)?
5. How would you express \(\sqrt{-12}\) in terms of \(i\)?

**Tip:** When dealing with square roots of negative numbers, always remember to factor out \(i\) to express it in terms of imaginary numbers.

Express in terms of i. StartRoot negative 7 EndRoot (Simplify your answer. Type your answer in the form a + bi.)

Discover how to simplify √-7 using imaginary numbers. This problem explains how to express square roots of negative numbers in the form a + bi and covers key concepts such as imaginary units and complex numbers. Suitable for students in Grades 9-11.

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