A.9 Day 3 nth Roots Rational Exponents Radical Equations...
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A.9 Day 3 nth Roots_Rational Exponents_Radical Equations 2010 1 September 24, 2010 Jan 149:08 AM Warmup Simplify. 1. 2 4 2. (3x) 2 3. (5x 2 y) 3 4. 2 2 +4 1 5. (2a 2 b 3 ) 4 6. (4a 3 b 1 ) 2
Transcript of A.9 Day 3 nth Roots Rational Exponents Radical Equations...
A.9 Day 3 nth Roots_Rational Exponents_Radical Equations 2010
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September 24, 2010
Jan 149:08 AM
WarmupSimplify.
1. 24 2. (3x)2 3. (5x2y)3
4. 22 + 41 5. (2a2b3)4 6. (4a3b1)2
A.9 Day 3 nth Roots_Rational Exponents_Radical Equations 2010
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September 24, 2010
Jan 149:08 AM
A.9 DAY 3n th Roots
Rational ExponentsRadical Equations
Objectives:Divide radicals and rationalize the denominator.
Solve radical functions.Use rational exponents.
A.9 Day 3 nth Roots_Rational Exponents_Radical Equations 2010
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September 24, 2010
Sep 231:04 PM
Simplify each expression.
1. 2. 3.∛81 ∛3
√180 √5
√121 √2
Review
A.9 Day 3 nth Roots_Rational Exponents_Radical Equations 2010
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September 24, 2010
Jan 610:54 AM
To rationalize the denominator of an expression, rewrite it so there are no radicals in any denominator and no denominators in any radical. This makes it easier to calculate the decimal approximation.
Examples: 1
√2
√2√3
∛5 ∛2
Rationalizing the Denominator
1.
2.
3.
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September 24, 2010
Jan 610:56 AM
√x3 √5xy
2 3x √3
Divide and rationalize the denominator.
1.
2.
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September 24, 2010
Jan 610:56 AM
This is tough...should we do more?Divide and rationalize the denominator.
√75
√2x3
√10xy
∛4∛6x
1.
2.
3.
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September 24, 2010
Jan 293:58 PM
A radical equation is an equation that has a variable in the radicand .
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September 24, 2010
Jan 294:07 PM
Solving Square Root Equations
Step 1: Isolate the radical.
Step 2: Square each side.
Step 3: Solve.
Step 4: Check.
Solve: 2 + √3x - 2 = 6
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September 24, 2010
Jan 294:30 PM
Step 1: Isolate the radical.
Step 2: Square each side.
Step 3: Solve.
Step 4: Check.
Solve: √5x + 1 - 6 = 0
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September 24, 2010
Feb 76:12 PM
Solve √x - 3 + 5 = x. Then check for extraneous solutions.
A.9 Day 3 nth Roots_Rational Exponents_Radical Equations 2010
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September 24, 2010
Feb 76:28 PM
Solve √5x - 1 + 3 = x. Then check for extraneous solutions.
Solve √5x - 1 + 3 = x. Then check for extraneous solutions.
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September 24, 2010
Sep 2311:54 AM
Take out a calculator please!Use a calculator to find each value. Look for a pattern.
1. 25 = 6. 27 =
2. 100 = 7. 64 =
3. 81 = 8. 8 =
4. 49 = 9. 27 =
5. 4 = 10. 8 =32
32
31
31
31
21
21
25
21
0.5
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September 24, 2010
Jan 149:08 AM
x mn
base
powerroot
25 = 25
327 = 27
164
= 16
12
13
14
xmn=x m
n
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September 24, 2010
Jan 149:08 AM
Write the exponential expressions in radical form.
x53 2.
y0.4 3. z 14 4.
w 34 1.
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September 24, 2010
Jan 149:08 AM
2. (√ b )5 2
3. (√y )3 4. (√z )4 3
1. √a3
Write the radical expressions in exponential form.
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September 24, 2010
Feb 71:06 PM
Simplify each number.
2532 32
35 (32)
45 1. 2. 3.
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September 24, 2010
Jan 295:27 PM
HOMEWORKpage 1038
(35 37, 43 44,47 58, 65 66)
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September 24, 2010
Jan 149:08 AM
12513 5
12 5
12.
Simplify each expression.
Simplifying Expressions With Rational Exponents
1013 100
13. 1. 2. 3.
