Definition of a radical number

[Hayker]

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.

 

[HallsofIvy]

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.

 

[tacman]

A radical number, also known as a radical expression, is a mathematical expression that includes a square root, cube root, or other root symbol. It is used to represent a number that cannot be expressed as a simple fraction or decimal. For example, √2 is a radical number because it represents the square root of 2, which is an irrational number. Radical numbers are commonly used in algebra and geometry to solve equations and represent real-world quantities. They are also used in advanced mathematics to simplify complex expressions and equations.