Question

Rationalize the denominator. $$\frac{6}{\sqrt{8}}$$

   Rationalize the denominator.
$$\frac{6}{\sqrt{8}}$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Julie Miller,Molly… 3rd Edition

Chapter 10, Problem 39

Instant Answer

Solved by Expert Prashansha Kaushik

03/29/2021

Step 1

Step 1: First, we simplify the denominator $\sqrt{8}$ to $2\sqrt{2}$, so the expression becomes $\frac{6}{2\sqrt{2}}$. Show more…

Show all steps

lock

Thanks for your feedback!

Rationalize the denominator. $$\frac{6}{\sqrt{8}}$$

Play audio

Feedback

Powered by NumerAI

Prashansha Kaushik and 95 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Radical Expressions

Radical expressions involve numbers or variables under a root sign, such as the square root. They often appear in fractions and equations, and understanding how to simplify them—including factoring the radicand into perfect squares—is crucial for handling algebraic expressions accurately.

Rationalizing the Denominator

Rationalizing the denominator is the algebraic process of eliminating radicals from the bottom part of a fraction. This is accomplished by multiplying the fraction by an appropriate form of one, which replaces the radical with a rational number and simplifies further manipulation of the expression.

Simplification of Fractions

Simplification of fractions involves reducing fractions to their simplest form by removing common factors in the numerator and denominator. When radicals are involved, additional steps such as factoring inside the radical and canceling like terms are employed to achieve a simplified expression.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later