Simplifying Radicals and Pythagorean Thereom
May 20, 2013
Simplifying Radicals Expressions
Radi
cals
are R
adica
l!
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Simplifying Radicals and Pythagorean Thereom
May 20, 2013
Radicals allow us to keep exact answers.
A __________________________________ is an expression that
contains a square root.
We will be using prime factorization (factor trees) to help us
simplify today.
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Simplifying Radicals and Pythagorean Thereom
May 20, 2013
1. Simplify √12
2. Simplify √90
3. Simplify √52
4. Simplify √72
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Simplifying Radicals and Pythagorean Thereom
May 20, 2013
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Simplifying Radicals and Pythagorean Thereom
May 20, 2013
Multiplying Square Roots
You have options. You can simplify in the
beginning or in the end. Its up to you!
1. Find √3 √15
2. Find √2
√24
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Simplifying Radicals and Pythagorean Thereom
May 20, 2013
Pythagorean Theorem
(has to do with triangles and is BIG in geometry)
In a right triangle, the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse.
a
c
a 2 + b
2
= c
2
hypotenuse
b
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Simplifying Radicals and Pythagorean Thereom
May 20, 2013
Practice:
a =
pull
a2 + b2 = c2
b =
c =
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Simplifying Radicals and Pythagorean Thereom
Practice:
May 20, 2013
a2 + b2 = c2
a =
b =
c =
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Simplifying Radicals and Pythagorean Thereom
May 20, 2013
Practice:
a =
b =
c =
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Simplifying Radicals and Pythagorean Thereom
Practice:
May 20, 2013
a2 + b2 = c2
a =
b =
c =
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Simplifying Radicals and Pythagorean Thereom
May 20, 2013
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