Question

Define the term 'radical' in mathematics.

Ask by Chen George. in Australia
Mar 13,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

In mathematics, a 'radical' is a root of a number or expression, like the square root \( \sqrt{4} = 2 \). It can also be a cube root or higher roots.

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

In mathematics, a 'radical' refers to a symbol that represents the root of a quantity, usually denoted by the square root symbol (√). For example, the square root of 9 is expressed as √9, which equals 3. Radicals can also represent higher roots, such as cube roots (∛) or fourth roots (∜). They’re often used in equations and can simplify expressions involving fractions or irrationals, allowing for elegant solutions and deeper insights! Interestingly, radicals have been around for centuries, tracing back to ancient civilizations like the Babylonians and Greeks, who used geometric methods to approximate square roots. This historical context shows just how integral the concept of roots has been in mathematics, laying the groundwork for developments in algebra and calculus that we enjoy today!

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