Transcript Warm up 1-5-2010

Warm up
1. 4 3  2 3
2.  3 n  n
3. 2 80  20
4. 5 8  32  2 18
5. 48 p  3 18 p  2 27 p
Answers
1. 6 3
2.  4 n
3. 10 5
4. 12 2
5.  2 3 p  9 2 p
Multiplying and Dividing
Radicals
Multiplication Property of Radicals
ab 
a b
Multiplying Rules
The rules to multiply radicals are:
► Multiply
the terms outside to each other
► Multiply the terms inside the radical to each
other
► Simplify completely
6  2  12  2 3
Multiply the radicals then simplify
► Example
2:
2 3x  4 6 x
2
24 x 2 x
► Example
3:
8ab  2 10a b
2
3 4
8a b
2 3
5
More Examples:
4. 8

4 3 2

4 2  12
5.  3 10

2 4

6 5  12 10
Division Property of Radicals
a
a

b
b
Dividing Radicals
1.
2.
3.
4.
Check to see if there is a perfect square in
the denominator.
If no to step 1, try to simplify the fraction
to make a perfect square in the
denominator.
Simplify top and bottom separately.
Simplify numbers outside of radicals if
possible.
Remember
** Numbers outside the radical can be divided
by each other and numbers inside can be
divided, but a whole number CANNOT be
divided by a number under a radical!**
Examples
1.
7
9
5
2. 2
4
9
3. 3
3
Examples
4.
5.
20
4
24
27
8
6. 3
64
Examples
7.
16a
4a
2
8.
20a b
2
4a
3x 3
9.
5x 9