Definition of a radical number

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SUMMARY

A radical number, also known as a 'surd', is defined as any number that can be expressed as a root of a rational number or an algebraic combination of such roots. Examples of radical numbers include √2 and ^3√(7 - √3). Understanding radical numbers is essential for grasping more complex mathematical concepts and operations involving roots.

PREREQUISITES
  • Basic understanding of algebraic expressions
  • Familiarity with rational numbers
  • Knowledge of square roots and cube roots
  • Ability to manipulate equations involving roots
NEXT STEPS
  • Study the properties of square roots and cube roots
  • Learn about simplifying radical expressions
  • Explore the concept of irrational numbers
  • Investigate the applications of radical numbers in geometry
USEFUL FOR

Students, educators, and anyone seeking to enhance their understanding of algebra and mathematical concepts related to roots and radical expressions.

Hayker
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I would love to know the definition of a radical number...JUST a radical number. I'm terrible at memorizing anything and have completely forgotton this term. I don't want any other inormation then what I am asking. All I want is a few sentences to explain a radical number. Equations are the easy part of math.
 
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A radical number (also called a 'surd') is any number that can be written as a root of a rational number or an algebraic combination of such.

Examples:
\sqrt{2} is a "radical" number.

^3\sqrt{7- \sqrt{3}} is a "radical" number.
 

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