Math 10 Rationalize the Denominator

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview

14 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What does it mean to rationalize the denominator?
Back
Rationalizing the denominator means to eliminate any irrational numbers (like square roots) from the denominator of a fraction.
Tags
CCSS.HSN.RN.A.2
2.
FLASHCARD QUESTION
Front
How do you rationalize a denominator that contains a square root?
Back
Multiply the numerator and denominator by the square root present in the denominator.
3.
FLASHCARD QUESTION
Front
What is the result of rationalizing \( \frac{1}{\sqrt{2}} \)?
Back
\( \frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2} \)
4.
FLASHCARD QUESTION
Front
What is the result of rationalizing \( \frac{3}{\sqrt{5}} \)?
Back
\( \frac{3}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} = \frac{3\sqrt{5}}{5} \)
5.
FLASHCARD QUESTION
Front
What is the result of rationalizing \( \frac{5}{\sqrt{3} + 1} \)?
Back
Multiply by the conjugate: \( \frac{5}{\sqrt{3} + 1} \times \frac{\sqrt{3} - 1}{\sqrt{3} - 1} = \frac{5(\sqrt{3} - 1)}{2} \)
Tags
CCSS.HSN.RN.A.2
6.
FLASHCARD QUESTION
Front
What is the conjugate of \( a + b \)?
Back
The conjugate of \( a + b \) is \( a - b \).
Tags
CCSS.HSN.CN.A.3
7.
FLASHCARD QUESTION
Front
Why is it important to rationalize the denominator?
Back
Rationalizing the denominator can simplify calculations and make the expression easier to understand.
Tags
CCSS.HSN.RN.A.2
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Alg 2 - Lesson 6.1-6.3 Review

Flashcard
•
9th - 12th Grade
15 questions
Module 3 Study Guide

Flashcard
•
9th - 12th Grade
15 questions
Dividing Complex Numbers

Flashcard
•
11th - 12th Grade
15 questions
Exam Review - Simplifying Square Roots and Systems of Equations

Flashcard
•
9th - 12th Grade
15 questions
Simplifying Radicals and Radical Operations

Flashcard
•
8th - 12th Grade
14 questions
Sum and Difference Formulas

Flashcard
•
9th - 12th Grade
13 questions
Simplify Radicals Practice

Flashcard
•
9th - 12th Grade
15 questions
L15A1 Simplifying Radicals Practice

Flashcard
•
9th - 12th Grade
Popular Resources on Wayground
10 questions
Video Games

Quiz
•
6th - 12th Grade
20 questions
Brand Labels

Quiz
•
5th - 12th Grade
15 questions
Core 4 of Customer Service - Student Edition

Quiz
•
6th - 8th Grade
15 questions
What is Bullying?- Bullying Lesson Series 6-12

Lesson
•
11th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
22 questions
Adding Integers

Quiz
•
6th Grade
10 questions
Exploring Digital Citizenship Essentials

Interactive video
•
6th - 10th Grade
Discover more resources for Mathematics
12 questions
Graphing Inequalities on a Number Line

Quiz
•
9th Grade
15 questions
Two Step Equations

Quiz
•
9th Grade
15 questions
Slope

Lesson
•
7th - 9th Grade
15 questions
Solving Literal Equations

Quiz
•
8th - 9th Grade
12 questions
Absolute Value Equations

Quiz
•
9th Grade
10 questions
Decoding New Vocabulary Through Context Clues

Interactive video
•
6th - 10th Grade
20 questions
Parallel lines and transversals

Quiz
•
9th - 12th Grade
10 questions
Solving Absolute Value Equations

Quiz
•
9th Grade