Question
upstudy study bank question image url

Rewrite this imaginary number using i and then select your answer from the choices. Make sure your answer is fully simplified. \[ \sqrt{-25} \]

Ask by Schmidt Chadwick. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The answer is \( 5i \).

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Extra Insights

The expression \(\sqrt{-25}\) can be rewritten using the imaginary unit \(i\) as follows: \(\sqrt{-25} = \sqrt{25} \cdot \sqrt{-1} = 5i\). So, the fully simplified answer is \(5i\). Now let's have some fun facts! First Line: Imaginary numbers, like \(i\), were first introduced by the Italian mathematician Gerolamo Cardano in the 16th century. He encountered them while attempting to solve cubic equations, which set the stage for many sophisticated developments in mathematics! Second Line: Imaginary numbers aren't just abstract concepts; they play crucial roles in electrical engineering and quantum physics! For instance, in circuit analysis, engineers use complex numbers to analyze waveforms, making sense of alternating current (AC) systems in a delightful way!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy