Unit 1 Section 9b Radical Expressions.notebook
September 24, 2015
Keystone Ready
Molly is simplifying 7√425 . The steps she took are shown below.
7√425
Step 1: 7 ﴾√400 + √25﴿
Step 2: 7﴾20 + 5﴿
Step 3: 7﴾25﴿
Step 4: 175
One of the steps shown is incorrect.
A. Rewrite the incorrect step so that it is correct.
B. Using the corrected step from part A, simplify 7√425 .
Sep 22­7:29 AM
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Unit 1 Section 9b Radical Expressions.notebook
September 24, 2015
Sep 22­7:29 AM
Radical Expressions Continued...
What if we throw rational numbers and
multiplication into the mix...
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Unit 1 Section 9b Radical Expressions.notebook
September 24, 2015
Simplest Radical Form:
1. The expression under the radical sign has NO
perfect square factors other than 1.
2. The expression under the radical sign does not
contain a fraction.
3. The denominator does not contain a radical
expression.
Sep 16­11:05 AM
Multiplication Property of Square Roots: For any
number a ≥ 0 and b≥ 0, √ab = √a (√b)
Simplify each radical expression. Assume that all
variables under radicals represent positive numbers.
.
1.) √5(√4)
2.) -3√15 2√6
3.) √6(√30)
4.) √4a √12a5
.
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Unit 1 Section 9b Radical Expressions.notebook
Homework: Homework packet page 43, and 45
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Skip for now
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Unit 1 Section 9b Radical Expressions.notebook
Sep 22­9:16 AM
Division Property of Exponents:
For any numbers a ≥ 0 and b > 0
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Unit 1 Section 9b Radical Expressions.notebook
September 24, 2015
The square root of some fractions can be
determined by finding the square root of the
numerator and denominator separately.
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Examples: Simplify each rational expression.
1.)
2.)
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Unit 1 Section 9b Radical Expressions.notebook
September 24, 2015
Some fractions can be reduced to fractions with
perfect squares as the numerator and denominator.
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Examples: Simplify each expression.
1.)
2.)
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Unit 1 Section 9b Radical Expressions.notebook
September 24, 2015
The denominator must contain no radicals, or
else it's considered incorrect.
To get the "right" answer, you must "rationalize" the
denominator. That means find some way to convert the
fraction into a form where the denominator has only
"rational" (fractional or whole number) values.
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Rationalize the Denominator
Simplify.
√
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24
3n
Unit 1 Section 9b Radical Expressions.notebook
Homework packet 44 and 49
Skip 11 and 12 on page 44
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Sep 18­3:27 PM
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Unit 1 Section 9b Radical Expressions.notebook
Sep 22­3:46 PM
Sep 22­4:18 PM
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