11.1 Simplifying Radical Expressions 33 22 11 Definitions Simplifying Radicals Practice Problems.
Simplifying Radicals
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Transcript of Simplifying Radicals
8
20
32
75
40
=
= =
=
=
2*4
5*4
2*16
3*25
10*4
=
=
=
=
=
22
52
24
35
102
Perfect Square Factor * Other Factor
LE
AV
E I
N R
AD
ICA
L F
OR
M
48
80
50
125
450
=
= =
=
=
3*16
5*16
2*25
5*25
2*225
=
=
=
=
=
34
54
225
55
215
Perfect Square Factor * Other Factor
LE
AV
E I
N R
AD
ICA
L F
OR
M
Simplify each expression: Simplify each radical first and then combine.
323502
22
212210
24*325*2
2*1632*252
Simplify each expression: Simplify each radical first and then combine.
485273
229
22029
34*533*3
3*1653*93
18
288
75
24
72
=
= =
=
=
=
=
=
=
=
Perfect Square Factor * Other Factor
LE
AV
E I
N R
AD
ICA
L F
OR
M
*To multiply radicals: multiply the coefficients and then multiply the radicands and then simplify the remaining radicals.
To divide radicals: divide the coefficients, divide the radicands if possible, and rationalize the denominator so that no radical remains in the denominator
7
6This 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.
7
7*7
6
49
42
7
42
42 cannot be simplified, so we are
finished.
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.
10
5
2
2*2
1
10
2
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.
12
3
3
3*
12
3
36
33
6
33
2
3Reduce
the fraction.