Question
upstudy study bank question image url

Look at this equation: \[ a^{3}=64 \] What is \( a \), the cube root of 64 ? \( a= \)

Ask by King Reeves. in the United States
Mar 13,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( a = 4 \)

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

The Deep Dive

To find \( a \) in the equation \( a^{3} = 64 \), you need to calculate the cube root of 64. Since \( 4 \times 4 \times 4 = 64 \), you can easily see that \( a = 4 \). So, the solution is \( a = 4 \). Cube roots aren't just a math curiosity; they pop up all over, from physics in calculating volumes to even in finance when figuring out rates of return or compound growth. Understanding how to manipulate these roots can open up a world of problem-solving opportunities in various fields, making you not just a math whiz but a critical thinker in practical scenarios. If you're intrigued by cube roots, consider diving into related mathematical concepts such as quadratic equations and the fascinating world of higher dimensions. Books like "Flatland" by Edwin A. Abbott or "The Art of Mathematics: Coffee Time in Memphis" by Béla Bollobás are delightful reads that intertwine math and storytelling, giving you a broad perspective on mathematical concepts while keeping you entertained!

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