Download Informal Geometry Period 1

Square Roots
and
Simplifying
Radicals
Prime Numbers
1
2 3 5 7 11 13…
Numbers or variables under the radical sign
1. No perfect square factors other
than 1 are under the radical.
2. No fractions are under the radical.
3. No radicals are in the denominator.
Factor Trees to
Prime Factorization
45
Factor Trees to
Prime Factorization
54
Factor Trees to
Prime Factorization
98
EX:1 Simplify.
45 
3 3 5
3 5
When you have a pair, bring the number out.
EX:2 Simplify
 98   2  7  7 7 2
When you have a pair, bring the number out.
EX:3
48 
22223
 22 3
4 3
EX:4 Simplify.
2 45
 2 3 3 5
 23 5
6 5
You try!
1.
20
2 5
2. 4
40
8 10
3.
99
4.
108
 3 11 6 3
Variables as Radicands
Even Exponent – Take HALF out
(nothing left under
the radical)
ODD Exponent – Leave ONE under the
radical and take
HALF of the rest out
x x
6
y y
15
3
7
y
1026
a
b
783
a
b
391
513
b
13 24
a b
a b
6 12
a
5
18c d
4
 3c d
2
2
2c
Worksheet
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