Simplifying Radicals - updated

1
Simplifying Radicals
2
Perfect Squares
64
225
1
81
256
4
100
289
9
121
16
324
144
25
400
169
36
196
49
625
3
Simplify
2
4
5
This is a piece of cake!
10
12
4
Perfect Square Factor Other Factor
Simplify




LEAVE IN RADICAL FORM






5
Perfect Square Factor Other Factor
Simplify




LEAVE IN RADICAL FORM






6
Combining Radicals

To combine radicals combine the coefficients of
like radicals
7
Simplify each expression
8
Simplify each expression Simplify each radical
first and then combine.
9
Simplify each expression Simplify each radical
first and then combine.
10
Perfect Square Factor Other Factor
Simplify




LEAVE IN RADICAL FORM






11
Simplify each expression
12
Simplify each expression
13
Multiplying Radicals

To multiply radicals multiply the coefficients
and then multiply the radicands and then simplify
the remaining radicals.
14
Multiply and then simplify
15
(No Transcript)
16
Dividing Radicals
To divide radicals divide the coefficients,
divide the radicands if possible, and rationalize
the denominator so that no radical remains in the
denominator
17
That was easy!
18
This cannot be divided which leaves the radical
in the denominator. We do not leave radicals in
the denominator. So we need to rationalize by
multiplying the fraction by something so we can
eliminate the radical in the denominator.
42 cannot be simplified, so we are finished.
19
This can be divided which leaves the radical in
the denominator. We do not leave radicals in the
denominator. So we need to rationalize by
multiplying the fraction by something so we can
eliminate the radical in the denominator.
20
This cannot be divided which leaves the radical
in the denominator. We do not leave radicals in
the denominator. So we need to rationalize by
multiplying the fraction by something so we can
eliminate the radical in the denominator.
Reduce the fraction.
21
Simplify
X
Y3
P2X3Y
2X2Y
5C4D10
22
Simplify




23