

Simplify Radicals
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Sheryl Franklin
Used 90+ times
FREE Resource
19 Slides • 0 Questions
1
Simplify Radicals

2
What is a radical?
Another name for a square root
3
Radical:
This is read as "radical 17"
4
Simplify "PERFECT" square roots
A radical is considered a perfect square root IF when put in a calculator, it does not give you a decimal answer. (exceptions: see fraction slide)
Think of it (sorta) as the opposite of squaring a number
5
Examples:
Using a calculator makes this easy
6
Answer is:
9
7
Some of them we know by heart.
Actually, it would be in your best interest to MEMORIZE the first
15 perfect squares.
In other words, 1x1 = 1
2x2=4, 3x3=9, 4x4 = 16
until you get to 15x15 =225
8
This way
You won't need a calculator to figure the square roots of those.
You will already know them.
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Fractions
So, I told you about an exception.
What if you had this --->
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All you do is
Separate it into a radical divided by a radical and solve for the radicals
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Practice by completing the first half of your assignment
There are 10 problems. Do those now. Then move to the next slide
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Write your first 10 perfect squares
for example, the first three are 1, 4, 9...
you fill out the other 7 on your paper
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If your radical is NOT a perfect square
Here is how you simplify them:
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Factor Tree method
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Factor
What numbers multiply to equal 50?
I chose 5x10
5 is prime but 10 is not. So I have to continue until all numbers (ends of the branches) are prime.
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If there are pairs,
Circle them.
The square root of 5x5(25) is 5
That number goes outside the radical
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Single numbers
Stay under the radical.
if there is more than one, multiply them together and put under radical.
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Here is a more involved example
The prime numbers we have are 3,3,2,5.
The 3 will go to the outside of radical. The leftover 2 & 5 will be multiplied and left under the radical.
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Now for practice
Go to your worksheet. There is plenty of practice. Ask questions to make sure you understand.
Simplify Radicals

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