Simplify radicals Study guides, Class notes & Summaries
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![Sophia College Algebra 1. PERFORMING OPERATIONS WITH REAL NUMBERS | MILESTONE 1](/docpics/4169847/659bea9a9fdb5_4169847_121_171.jpeg)
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Sophia College Algebra 1. PERFORMING OPERATIONS WITH REAL NUMBERS | MILESTONE 1
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Sophia College Algebra 1. PERFORMING OPERATIONS WITH REAL NUMBERS | MILESTONE 1 
 
 
You passed this Milestone 
18 questions were answered correctly. 3 questions were answered incorrectly. 
 	1	 
The Elster family drove 9.25 hours on the first day of their road trip. 
How many minutes is this equivalent to? 
 
 	9,256 minutes	 
 
 	33,300 minutes	 
 	555 minutes	 154 minutes	 
RATIONALE 
	In general, we use conversion factors to convert from one unit to another. A conversion factor is a frac...
![Sophia College Algebra MM212 Final Milestone 20/25 that's 80%](/docpics/4169857/659beb12e7492_4169857_121_171.jpeg)
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Sophia College Algebra MM212 Final Milestone 20/25 that's 80%
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Sophia College Algebra MM212 Final Milestone 20/25 that's 80% 
20 questions were answered correctly. 5 questions were answered incorrectly. 1 
 
Geri runs a total of 3.1 miles in a cross-country race. 
 
How many feet is this equivalent to? 
 
• 
 
5,280 feet 
 
• 
 
16,368 feet 
 
• 
 
4,989 feet 
 
• 
 
15,840 feet 
 
RATIONALE 
In general, we use conversion factors to convert from one unit to another. A conversion factor is a fraction with equal quantities in the numerator and denomi...
![Test Bank for College Algebra 12e R David Gustafson Jeff Hughes](/docpics/3531739/65182f513e9ac_3531739_121_171.jpeg)
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Test Bank for College Algebra 12e R David Gustafson Jeff Hughes
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0.3 - Rational Exponents and Radicals 1. Rationalize the numerator and simplify. 
 a. b. c. d. e. 
 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES: DATE CREATED: DATE MODIFIED: 
b 
1 
Multiple Choice True 
12/28/2015 4:53 AM 12/28/2015 4:53 AM 
2. Simplify the expression. 
 a. b. c. d. 
 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES: DATE CREATED: 
DATE MODIFIED: 
d 
1 
Multiple Choice True 
12/28/2015 4:53 AM 12/28/2015 4:53 AM 
Copyright Cengage Learning. Powered by Cognero. 
Page 1 
 
 0....
![Sophia College Algebra 1. PERFORMING OPERATIONS WITH REAL NUMBERS | MILESTONE 1](/docpics/4932638/661073dc4a0d9_4932638_121_171.jpeg)
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Sophia College Algebra 1. PERFORMING OPERATIONS WITH REAL NUMBERS | MILESTONE 1
- Exam (elaborations) • 24 pages • 2024
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Sophia College Algebra 1. PERFORMING OPERATIONS WITH REAL NUMBERS | MILESTONE 1 
 
 
You passed this Milestone 
18 questions were answered correctly. 3 questions were answered incorrectly. 
 	1	 
The Elster family drove 9.25 hours on the first day of their road trip. 
How many minutes is this equivalent to? 
 
 	9,256 minutes	 
 
 	33,300 minutes	 
 	555 minutes	 154 minutes	 
RATIONALE 
	In general, we use conversion factors to convert from one unit to another. A conversion factor is a frac...
![GRE Math With Complete Solution A+ Material](/docpics/3416394/64ff1b9668454_3416394_121_171.jpeg)
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GRE Math With Complete Solution A+ Material
- Exam (elaborations) • 28 pages • 2023
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GRE Math With Complete Solution A+ Material 
 
formula for distance problems - distance=rate×time or d=rt 
 
The Perimeter of a rectangle - P=2(l+w) 
 
The Perimeter of a Square - P=4s (s=side) 
 
Area of a Parallelogram: - A=(base)(height) 
 
(x-y)(x+y) - x²-y² 
 
(x-y)² - x²-2xy+y² 
 
(x+y)² - x²+2xy+y² 
 
An Angle that's 180° - Straight Angle 
 
The sum of all angles around a point - 360° 
 
If a pair of parallel lines is cut by a transversal that's not perpendicular, the sum of ...
![Math 40 ONLINE - Intermediate Algebra](/docpics/4724652/65f0093c66053_4724652_121_171.jpeg)
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Math 40 ONLINE - Intermediate Algebra
- Exam (elaborations) • 10 pages • 2024
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Spring 2018 
Section: 20807 
Time: Online coursework via ALEKS through FC Canvas 
Instructor: Minh Bui 
Email: 
Office: 1252-04 
Phone: 
Office Hours: T (online office hours only)9:30 – 11:00am 
Tuesday online office ONLY 
Website: 
Textbook for this course is Intermediate Algebra (5th ed.), Miller/O’Neill/Hyde, McGraw-Hill, 2018. (printed 
textbook not required) 
Course Description: 
This course is appropriate for students preparing to take MATH 129 F, MATH 141 F, MATH 141HF or MATH 1...
![Sophia College Algebra 1. PERFORMING OPERATIONS WITH REAL NUMBERS | MILESTONE 1](/docpics/4773416/65f83604b362e_4773416_121_171.jpeg)
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Sophia College Algebra 1. PERFORMING OPERATIONS WITH REAL NUMBERS | MILESTONE 1
- Exam (elaborations) • 24 pages • 2024
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Sophia College Algebra 1. PERFORMING OPERATIONS WITH REAL NUMBERS | MILESTONE 1 
 
 
You passed this Milestone 
18 questions were answered correctly. 3 questions were answered incorrectly. 
 	1	 
The Elster family drove 9.25 hours on the first day of their road trip. 
How many minutes is this equivalent to? 
 
 	9,256 minutes	 
 
 	33,300 minutes	 
 	555 minutes	 154 minutes	 
RATIONALE 
	In general, we use conversion factors to convert from one unit to another. A conversion factor is a fractio...
![ALGEBRA_MILESTONE_1.pdf](/docpics/3879525/655d6995c30f2_3879525_121_171.jpeg)
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ALGEBRA_MILESTONE_1.pdf
- Exam (elaborations) • 20 pages • 2023
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Start by simplifying the terms in the parentheses. Using the Quotient Property of Exponents, divide the two 
terms that have the same base by subtracting the exponents, and . 
 
When subtracting fractions with a common denominator, subtract across the numerators and leave the 
denominator the same. 
 
minus equals . Next, apply the Power of Property of Exponents to multiply the two exponents and 
write as a single power. 
 
times equals . Lastly, rewrite the fraction in its simplest form. 
 
sim...
![Sophia COLLEGE ALGEBRA UNIT 1 MILESTONE 1](/docpics/3786815/654a3eef4ccc0_3786815_121_171.jpeg)
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Sophia COLLEGE ALGEBRA UNIT 1 MILESTONE 1
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Simplify the following expression in terms of fractional exponents and write it in the form . 
 
RATIONALE 
Radical expressions can be rewritten using fractional exponents by corresponding the index of the radical to the denominator of the fractional exponent. Begin by writing the expression underneath the radical. This entire expression will be raised to a fractional exponent power. 
The index of the radical is . In other words, this is the fourth-root. This means that the entire expression wil...
![Sophia Milestone 1 College Algebra with Correct VERIFIED answers.( best of 2021)](/docpics/62654fb0978e4_1696742.jpg)
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Sophia Milestone 1 College Algebra with Correct VERIFIED answers.( best of 2021)
- Exam (elaborations) • 14 pages • 2022
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Sophia Milestone 1 College Algebra with Correct VERIFIED answers.( best of 2021) 
UNIT 1 — MILESTONE 1 
Score 18/21 
You passed this Milestone 
18 questions were answered correctly. 
3 questions were answered incorrectly. 
1 
Simplify the following radical expression. 
RATIONALE 
To simplify this expression, we can use the Product Property of Radicals to separate the expression into two radicals. 
The cube root of can be written as the cube root of 64 times the cube root of . Next, we can wri...
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