Question
upstudy study bank question image url

What is the value of the following expression? \( -\sqrt[3]{-216} \) -72 72 -6 6

Ask by Nichols Ward. in Germany
Dec 21,2024

Real Tutor Solution

Tutor-Verified Answer

Answer

The value of the expression \( -\sqrt[3]{-216} \) is 6.

Solution

To evaluate the expression \( -\sqrt[3]{-216} \), follow these steps: 1. **Calculate the Cube Root:** \[ \sqrt[3]{-216} = -6 \] This is because \((-6)^3 = -216\). 2. **Apply the Negative Sign:** \[ -\sqrt[3]{-216} = -(-6) = 6 \] **Answer:** 6

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Mind Expander

To solve the expression \( -\sqrt[3]{-216} \), we first need to find the cube root of \(-216\). The cube root of \(-216\) is \(-6\) because \((-6) \times (-6) \times (-6) = -216\). Therefore, the expression simplifies to \( -(-6) \), which equals \( 6 \). The correct answer is 6! Now that we’ve solved the problem, let’s take a fun detour: Did you know that the cube root is all about finding a number that can multiply itself three times to get to a certain value? Perfect for tackling engineering challenges and understanding volumes! Also, the concept of cube roots has a long history dating back to ancient civilizations, where mathematicians were already exploring ways to express and manipulate numbers. The Greeks and Babylonians used geometrical approaches to understand these roots long before the formal notation we use today was developed. How cool is that?

Related Questions

Latest Pre Algebra Questions

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