n th root & rational exponents
DESCRIPTION
n th Root & Rational Exponents . 3.1. Radicals Dude!. Index. Square Root. Cube root. Radicand. 4 th Root. n th Root. What does it mean Dude?. Square Root. Cube root. 4 th Root. So…. Writing expressions with n th Roots vs. Rational Exponents. Radical Expression. - PowerPoint PPT PresentationTRANSCRIPT
nnthth Root & Root &Rational Exponents Rational Exponents
3.13.1
Square RootSquare Root Cube root
Cube root
44thth Root Root nn thth Root
Root
y xRadicandRadicand
IndexIndex
Square RootSquare Root
Cube root
Cube root
44thth Root Root
25 5 5 5 25because
3 8 2 2 2 2 8because
4 16 2 2 2 2 2 16because
4 81 3 because __________________
Writing expressions with Writing expressions with nnthth Roots vs. Rational Roots vs. Rational
ExponentsExponentsRadical ExpressionRadical Expression Exponential ExpressionExponential Expression
3
15
23
25
1. 125
2. 32
3. 8
4. 32
Radical ExpressionRadical Expression Exponential ExpressionExponential Expression
23
4
1. 27
2. 923
52
3. 125
4. 4
PowerRoot
base
Cube rootCube root 3 x Same as Same as 13x
Can x be negative?Can x be negative?When?When?
3 8
4 16
3 8
4 16
Number of Solutions to ConsiderNumber of Solutions to Consider
Negative ExponentsNegative Exponents 24 2
14
116
2327 2
3
1
27 2
3
1
27 2
13
19
2532
Evaluate the expression using a calculator. Evaluate the expression using a calculator. Round the results to the 100Round the results to the 100thsths when when appropriate.appropriate.
13
15
25
1. 14
2. 36
3. 16
2 3
4
1. 6 180 2. 9 31
3. 8 2
x x
x
The volume of a The volume of a beach ball can be beach ball can be approximated using approximated using the model the model where r is the radius where r is the radius of the ball in inches. of the ball in inches. Estimate the radius of Estimate the radius of the ball if the volume the ball if the volume is 268 cubic inches.is 268 cubic inches.
343
V r
343
V r
342683r
HOMEWORK: HOMEWORK: Page 112 #1–35 odd,Page 112 #1–35 odd,