Question
upstudy study bank question image url

b. \( \sqrt{48}-\sqrt{12}+\sqrt{27} \)

Ask by Cummings Mcdonald. in Indonesia
Dec 07,2024

Real Tutor Solution

Tutor-Verified Answer

Answer

\( 5\sqrt{3} \)

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

The Deep Dive

Did you know that simplifying square roots can make expressions much more manageable? For example, \(\sqrt{48}\) can be rewritten as \(\sqrt{16 \times 3} = 4\sqrt{3}\), \(\sqrt{12}\) as \(\sqrt{4 \times 3} = 2\sqrt{3}\), and \(\sqrt{27}\) as \(\sqrt{9 \times 3} = 3\sqrt{3}\). So, your expression becomes \(4\sqrt{3} - 2\sqrt{3} + 3\sqrt{3}\), which simplifies further to \(5\sqrt{3}\). Now imagine you're trying to impress a friend with your math skills at a gathering. Instead of presenting numbers in their clunky radical forms, you can confidently show off your simplified expression, \(5\sqrt{3}\). Your friends will be amazed by your ability to simplify complex expressions, and you might even inspire them to learn more about the beauty of mathematics right then and there!

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