86. (3√2 – √3)(2√2 + 3√3)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Simplify. Please explain each step like did in the example that I have attached please take a look on it
K
8:12
MAT222.W3.Discussion Example.pdf
INSTRUCTOR GUIDANCE EXAMPLE: Week Three Discussion
#51. (212
#63.
#89.
Simplifying Radicals
1. Simplify each expression using the rules of exponents and explain the steps you
are taking.
2. Next, write each expression in the equivalent radical form and demonstrate how it
can be simplified in that form, if possible.
3. Which form do you think works better for the simplification process and why?
2(4*1/2)
2-2
1
1
(81x¹2
20
3
3x¹
ا... 4 2 2
27
(-2)²
22
33
(-2)²
4G
K 7
KY
- Read-only
The exponent working on an exponent calls for the Power Rule.
The exponents multiply each other.
-4*1/2 = -2 so the new exponent is -2.
The negative exponent makes a reciprocal of base number and
exponent.
The final simplified answer is 14. This is the principal root of the
square root of 24.
multiplying both the inner exponents. 81 34
The Power Rule will be used again with the outside expone
4*1/41, 12*1/4= 3, and 20*1/4= 5
All inner exponents were multiples of 4 so no rational exponents are left.
First rewrite each number as a prime to a power.
Use the Power Rule to multiply the inner exponents.
The negative has to be dealt with somewhere so I will put it with
the 2 in the numerator.
3*2/3 = 2 in both numerator and denominator.
The squaring eliminates the negative for the answer.
It turns out that the examples I chose to work out here didn't use all of the vocabulary
words and required one which wasn't on the list. Students should be sure to use words
appropriate to the examples they work on.
50%
Transcribed Image Text:K 8:12 MAT222.W3.Discussion Example.pdf INSTRUCTOR GUIDANCE EXAMPLE: Week Three Discussion #51. (212 #63. #89. Simplifying Radicals 1. Simplify each expression using the rules of exponents and explain the steps you are taking. 2. Next, write each expression in the equivalent radical form and demonstrate how it can be simplified in that form, if possible. 3. Which form do you think works better for the simplification process and why? 2(4*1/2) 2-2 1 1 (81x¹2 20 3 3x¹ ا... 4 2 2 27 (-2)² 22 33 (-2)² 4G K 7 KY - Read-only The exponent working on an exponent calls for the Power Rule. The exponents multiply each other. -4*1/2 = -2 so the new exponent is -2. The negative exponent makes a reciprocal of base number and exponent. The final simplified answer is 14. This is the principal root of the square root of 24. multiplying both the inner exponents. 81 34 The Power Rule will be used again with the outside expone 4*1/41, 12*1/4= 3, and 20*1/4= 5 All inner exponents were multiples of 4 so no rational exponents are left. First rewrite each number as a prime to a power. Use the Power Rule to multiply the inner exponents. The negative has to be dealt with somewhere so I will put it with the 2 in the numerator. 3*2/3 = 2 in both numerator and denominator. The squaring eliminates the negative for the answer. It turns out that the examples I chose to work out here didn't use all of the vocabulary words and required one which wasn't on the list. Students should be sure to use words appropriate to the examples they work on. 50%
84.
85.
86. (3√2-√3)(2√2 + 3√3)
1
Transcribed Image Text:84. 85. 86. (3√2-√3)(2√2 + 3√3) 1
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