Question
upstudy study bank question image url

19. \( (8-\sqrt{-25})-\sqrt{-81} \)

Ask by Hills Williams. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The expression simplifies to \( 8 - 14i \).

Solution

Sign in to Unlock Answers for Free!

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

star-icon Unlock

Reviewed and approved by the UpStudy tutoring team

Bonus Knowledge

Let's break down the expression step by step! First, we have \( \sqrt{-25} \) and \( \sqrt{-81} \). Since both involve square roots of negative numbers, we can express them using imaginary numbers. We know that \( \sqrt{-25} = 5i \) and \( \sqrt{-81} = 9i \). Now we can substitute these values back into the expression: \[ (8 - \sqrt{-25}) - \sqrt{-81} = (8 - 5i) - 9i \] Combining the imaginary parts gives us: \[ 8 - 5i - 9i = 8 - 14i \] So, the final answer is: \[ \boxed{8 - 14i} \]

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