Question
upstudy study bank question image url

Simplify.

Ask by Reyes O'Quinn. in the United States
Jan 24,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

To simplify , follow these steps:
  1. Factor the Number Inside the Square Root:
    Break down 18 into its prime factors:
    Notice that 9 is a perfect square since .
  2. Apply the Square Root to Each Factor:
    Use the property of square roots that :
  3. Simplify the Square Roots:
    So,
Final Simplified Form:

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Beyond the Answer

To simplify , we can break it down into its prime factors. Since and is a perfect square, we can rewrite as . This simplifies to , which equals . So, .
Additionally, if you were to compute the decimal value of , you would find it to be approximately . This can be useful in practical applications like geometry, where understanding dimensions in decimal form can ease calculations. So, whether you stick with for precise representation or use the approximate decimal for real-world measurements, you’re good to go!

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