Define the term 'radical' in mathematics.
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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!