Objectives The student will be able to: 1. simplify square roots, and 2.simplify radical...
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Transcript of Objectives The student will be able to: 1. simplify square roots, and 2.simplify radical...
ObjectivesThe student will be able to:
1. simplify square roots, and
2.simplify radical expressions.
Designed by Skip Tyler, Varina High School
In the expression , is the radical sign and
64 is the radicand.
If x2 = y then x is a square root of y.
1. Find the square root:
8
2. Find the square root:
-0.2
What are some strategies for finding the perfect squares in radicands?
The square root is simplified when there are no perfect squares left in
the radicand.
Compare and Contrast
Find the square root of with your calculator.
Now simplify the square root of
This means 31 and 0.18
This means 18 times
Are these answers equivalent?
Look at these examples and try to find the pattern…
How do you simplify variables in the radical?
1x x2x x3x x x4 2x x5 2x x x6 3x x
What is the answer to ?
7 3x x x
As a general rule, divide the exponent by two. The remainder stays in the
radical.
How do you know when a radical problem is done?
1. No perfect squares are in the radicand. 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
366
Uh oh…There is a
radical in the denominator!
Whew! It simplified!
Simplify
4 1
4
4
2
2
Uh oh…Another
radical in the denominator!
Whew! It simplified again! I hope they all are like this!
Simplify
5
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 same square root to make the
denominator a perfect square!