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February 7, 2018
Multiplying radical expressions
consider:
= 3.4=12
if6
= VT = 12
÷-
. 131-27 = -2 .
3=-6it# = PIIE = - 6
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February 7, 2018
Rule for multiplying radical expressions
IF =-2 IF
If Kaand IT arere@n#sthenVF . Vfb = Has
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February 7, 2018
Simplify the following:
: 1/-6.8 = 1/4-8 = 11-16-3
not real = VI. By = 403
= iyz . 58 = if = 4i
= ¥25 = Pts = - 5
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February 7, 2018
Simplifying radicals
Examples
xff.tl#xOI=V3FoFxe=5x2yzT=
2×62=13/-8.9×3
= YET
=2xy3F =Xy3TsI
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February 7, 2018
Simplifying products of radical expressionsb d
=
13/54=5×2×3%4- #×3
= $-270 ×5y>
×2
= *ftp.qq#==3xyyitFxI1 3xy2 Ptoxy( y2) 3
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February 7, 2018
Simplifying products of radical expressions
=
6111K¥= 6ftp.3xyi- -
=
6.7×1/113=421×3141115
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February 7, 2018
Dividing radical expressions
Consider
and
So...
VF = # =3
I I €⇐5T=§
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February 7, 2018
Rule for dividing radical expressions
If Fa and AT are
real numbers and b¥0
then Fa#=iFb
9
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February 7, 2018
Simplify the following: ×x÷= X5 '2=×3
→
. .=lF¥xfiEI←= PIFII
OH,F÷⇒÷3I←r
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→ Rationalizing the
7Denomina=To rationalize the denominator
means rewrite the expressionSo that there are no
radicals in the denominatorand no denominators in
any radical .
Notational :¥23 or ifs
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Rationalize the
denominator'
÷¥it÷*±BE ±Te=±Ex4
- Ptzx Plax1¥= KEY .mx#nz*E*= 3k¥
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February 7, 2018
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February 7, 2018
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February 7, 2018
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February 7, 2018
sixty-
V5FxTy"
YEEE'
*¥x23
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February 7, 2018
Rationalize the denominator