Simplifying Square-Root Radical Expressions Worksheet Page 2

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11-6.4 – Using the Product and Quotient rules together
You can also use these 2 properties together to simplify expressions
Examples:
5
5
4
2
80
80
16
5
4
5
4
x
4
x
4
x
x
2
x
x
25
5
9
3
25
25
9
9
11-6.5 – Applications
A baseball diamond is a square with sides of 90 feet. How far is a throw from third base to first base? Give
your answer as a radical in simplest form and then as a decimal rounded to the nearest tenth.
2
2
2
90
90
c
2
8100
8100
c
2
16200
c
Use Pythagorean theorem:
16200
c
90
2
c
127
3 .
c
Your boat is traveling 20 mph due north from a dock. Your friend’s boat is traveling 25 mph due east from the
same dock. After 2 hours, you friend calls and say he has broken down. How far must you travel to meet your
friend?
2
2
2
40
50
c
2
1600
2500
c
2
4100
c
Use Pythagorean theorem:
4100
c
10
41
c
64
.
03
c
Do Practice B #’s 2, 6, 10, 14, 18, 22

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