Download Calculating with Radicals

Working with Radicals
Chapter 6
Real Numbers
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Any number that can be written as a ratio of
two integers is a rational number.
(The denominator can not be zero.)
An irrational number is a decimal number
that never repeats or terminates.
The set of real numbers is the union of the
set of rational numbers and the set of
irrational numbers.
Real Numbers
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Rational Numbers
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Irrational Numbers
Properties of Square Roots
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a a
2
ab  a  b
a
a

,b0
b
b
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An expression in radical form is in
simplest form when:
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There is no integer under the radical sign
with a perfect square factor
There are no fraction under the radical sign,
and
There are no radicals in the denominator.
96
162
72
3 12
2 50
15
81
64
32
12  2 48
3 125  2 80
75  27
2 32 6
3 8  4 6
( 3  1)( 3  1)
( 3  1)( 3  1)
Homework