135 week 11..notebook
Agenda
Review Quiz #10
Lecture Simplifying Radicals
Equations with radicals
Complex number
Group Work
Quiz 10 #6
April 05, 2017
135 week 11..notebook
April 05, 2017
#9
Lecture: Simplifying Radicals
7.4 Radical in the denominator
remember...
1
rationalizing the denominator
135 week 11..notebook
April 05, 2017
135 week 11..notebook
April 05, 2017
rationalizing denominators (NOT square root)
Multiply top and bottom by what you need to make a rational number in the denominator
222222 22
64=8 * 8= 2*2*2*2*2*2=26
135 week 11..notebook
April 05, 2017
108=
2 108
2 54
3 27
3 9
3
135 week 11..notebook
Conjugates
difference of square
a+b a­b a2 ­ b2
ex
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135 week 11..notebook
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square root in equation Square both sides
135 week 11..notebook
April 05, 2017
check this answer works!
135 week 11..notebook
to hard to call ...hope this doesnt happen to you!
April 05, 2017
135 week 11..notebook
April 05, 2017
135 week 11..notebook
Check:
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135 week 11..notebook
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135 week 11..notebook
check 4*6­16=8
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135 week 11..notebook
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check 5,2
(x­5)(x­2)=0
x=5,2
check to find 2 doesnt work, but 5 does!
­2 ­2
(4u­16)1/3 = ­2
4u ­ 16 = ­8
+16 +16
4u = 8
u = 2
CHECK CHECK CHECK
135 week 11..notebook
April 05, 2017
x2 + 121 = 182
­121 ­121
x2 = 203
x = √203
135 week 11..notebook
April 05, 2017
Preview Complex
complex Numbers
imaginary
complex 6 + 2i complex conjugate 6 ­ 2i
135 week 11..notebook
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2 ­ 3i 3 + 7i
3 ­ 7i
3 + 7i
6 + 14i ­9i ­21i2
9 ­ 49i2
complex 6 + 5i ­ 21 (­1)
conjugate
9 ­ 49(­1)
27+5i
58
27 + 5i
58 58
135 week 11..notebook
April 05, 2017
i^53 = i^52 * i = i
Group Work
Business
Business or Science
Arts / Undecided
Science
unnati
william
courtney
135 week 11..notebook
April 05, 2017
135 week 11..notebook
April 05, 2017