Question

Simplify each expression. $\frac{3}{\sqrt{5}}$

   Simplify each expression.
$\frac{3}{\sqrt{5}}$

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 13, Problem 75

Instant Answer

Solved by Expert Elizabeth Xu

03/11/2020

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Simplify each expression. $\frac{3}{\sqrt{5}}$

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Key Concepts

Rationalizing the Denominator

This concept involves transforming a fraction with an irrational denominator into an equivalent expression with a rational denominator. The process typically requires multiplying both the numerator and the denominator by an appropriate expression that eliminates the radical from the denominator, which simplifies further arithmetic or algebraic manipulations.

Radical Expressions

These are expressions that include roots, such as square roots or cube roots. Working with radical expressions often involves applying properties of exponents and roots to simplify or combine them. Understanding how to manipulate radicals is crucial in algebra, particularly when simplifying expressions or solving equations that contain irrational numbers.

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