bell ringer use the pythagorean theorem to find the length of the hypotenuse
TRANSCRIPT
Bell Ringer• Use the Pythagorean Theorem to
find the length of the hypotenuse.
10.1 Simplifying Square Roots
Objectives: The student will be able to:
1. simplify square roots
In the expression , is the radical sign and
64 is the radicand.
1. Find the square root:
8
2. Find the square root:
-0.2
64
64
0.04
11, -11
4. Find the square root:
21
5. Find the square root:
3. Find the square root: 121
441
25
815
9
6.82, -6.82
6. Use a calculator to find each square root. Round the decimal answer to the nearest hundredth.
46.5
1 • 1 = 12 • 2 = 43 • 3 = 9
4 • 4 = 165 • 5 = 256 • 6 = 36
49, 64, 81, 100, 121, 144, ...
What numbers are perfect squares?
Simplify
1. .
2. .
3. .
4. .
2 18
72
3 8
6 236 2
Multiply the radicals.
3. Simplify 6 10
60
4 154 152 15
How do you know when a radical problem is done?
1. No radicals can be simplified.Example:
2. There are no fractions in the radical.Example:
3. There are no radicals in the denominator.Example:
8
1
4
1
5
Simplify.
Divide the radicals.
108
3
108
3
366
Uh oh…There is a
radical in the denominator!
Whew! It simplified!
Simplify
5
7
5
7
75
7 7
35
49 35
7
Since the fraction doesn’t reduce, split the radical up.
Uh oh…There is a fraction in the radical!
How do I get rid of the radical in
the denominator?
Multiply by the “fancy one” to make the denominator a
perfect square!
Homework
• Page 539-540
#12-20 even, 26-30 even, 36-42 even