Multiplying - PowerPoint PPT Presentation

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Multiplying

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Title: PowerPoint Presentation Author: Bob Greer Last modified by: Bob Greer Created Date: 11/30/2002 1:27:30 AM Document presentation format: On-screen Show – PowerPoint PPT presentation

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Title: Multiplying


1
Multiplying
and Dividing
Radicals
2
A property of mathematics says that square roots
can be distributed over multiplication.
That means a radical such as
can be written as
3
Or a radical expression such as
can be written as
which simplifies to
4
Try these
5
The property is often written
or
6
A related property says that square
roots are also distributive over division
7
or
8
Simplify
9
Try one more
10
Because 75 is not a perfect square . . .
What makes this one different?
. . . we dont know what its square root is.
We need to do something else to simplify it.
11
One possibility is to get an approximation
from a calculator
12
But another way to simplify it is to use what
we just learned about multiplying square roots.
13
What just happened?
What allowed us to change
to
?
14
One of our numbers
was the square root of a perfect
square.
15
Since we know the square root of perfect squares,
we can write
as
16
A radical term with all perfect square factors
extracted from the radical is said to be in
Simplest Radical Form.
17
Look at this example
Is it in simplest radical form?
Have all perfect square factors been removed?
18
Nowhat is a perfect square factor of 24?
19
Did you say 4?
We need to remove a factor of 4, so we will have
Youre right!
20
Just like when we simplify fractions,
when we simplify radicals, we are not
through until all possible factors
have been removed.
21
And just like when we simplify fractions,
it saves a step or two if we remove the greatest
possible factor first.
22
Try this one
23
Try this one
24
Try this one
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