2017­3­27 simplify radicals.notebook
March 27, 2017
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3/27/17
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pgs. 485-486 #13-28 ALL, # 45-52 ALL
Simplify.
1. 4. 7. 2. 5. 8. 3. 6. 9. 2017­3­27 simplify radicals.notebook
March 27, 2017
Determine whether the function represents exponential
growth or exponential decay. Identify the percent rate
of change.
1. y = 5(0.7)t 2. y = 49(1.04)t
3. r(t) = 0.5(0.95)t 4. Today's Objective:
Simplifying Radicals
2017­3­27 simplify radicals.notebook
March 27, 2017
For each operation with square roots, compare the results obtained using the two indicated orders of operations. What can you conclude?
a. Square Roots and Addition
Is + equal to ?
In general, is + equal to ? Explain your reasoning.
b. Square Roots and Multiplication
Is equal to ?
In general, is equal to ? Explain your reasoning.
c. Square Roots and Subtraction
Is − equal to ?
In general, is − equal to ? Explain your reasoning.
d. Square Roots and Division
Is equal to ?
In general, is equal to ? Explain your reasoning.
Steps to simplify a radical
Find the largest perfect square that is a factor of the
number under the radical
Rewrite the radical as a product of the square root and its
matching factor
Simplify
2017­3­27 simplify radicals.notebook
March 27, 2017
✔8
A radical is considered simplified when
1) The radicand has no perfect square
factors
2) The radicand contains no fractions
3) No radicals appear in the denominator of
a fraction.
✔8
2017­3­27 simplify radicals.notebook
March 27, 2017
Simplify the expression.
1. 2. 3. 4. 5. 10
6. 2 8
2017­3­27 simplify radicals.notebook
March 27, 2017
7. = 8. = Simplify the expression.
8.
9.
10.
11. 2017­3­27 simplify radicals.notebook
March 27, 2017
If there is a radical in the denominator, we
have to "rationalize the denominator"
12.
= Simplify the expression.
13.
14.
15.
16.
2017­3­27 simplify radicals.notebook
March 27, 2017