1. Lesson 0 – 9 Square Roots and Simplifying Radicals
Geometry
Lesson 0 – 9
Square Roots and
Simplifying Radicals
Objective:
Evaluate square roots and simplify radical expressions.

2. Product Property Product property:
For any two positive numbers a and b,

3. Simplifying radicals
A radical expression (square root expression) is simplified when the following are met:
No perfect square factors
No fractions inside the radical sign
No radicals in the denominator
Expression has only 1 radical sign

4. Simplify Notice that 9*5 = 45
Is there a perfect square that is a factor of 45?
If so break down the expression,
if not it is already simplified.
Notice that 9*5 = 45
Use your calculator to check

5. Simplify

6. Simplify Simplifying may take more than one steps
And can be worked different ways.
Can still break down sq. root of 12. or

7. Simplify OR

8. Simplify

9. Quotient Property
Quotient Property:
For any positive numbers a and b,

10. Simplify

11. Simplify Is not simplified because of the radical in the denominator.
You can do anything to a fraction as long as
you do it to the numerator and denominator.

12. Simplify

13. Simplify Do FOIL method in denominator
Multiply by what’s with the radical,
Only switch the sign.
Do FOIL method in denominator

14. Simplify

15. x y2 z3 Simplify Break down numbers the same.
Break down variables in to ‘squares’
Remember x * x = x2 x y2 z3

16. Simplify

17. Homework
Pg. P20 1 – 20 all