1. Warm Up Review - Simplify.
Write the problem.
Write the radicand as prime factors.
Simplify.
Use good form – alphabetical order (inside and outside of the radical) with radical last.
If the power of the variable is an odd number, write the variable with absolute value bars

2. Simplify.
You can have more than one variable in absolute value bars.

3. Warm Up – Simplify.
Example 1
Example 2
Example 3
Example 4
Example 5

4. Simplify.
Example 1
Example 2

5. Simplify.
Example 3
Example 4

6. Simplify.
Example 5

7. 10-1B Simplifying Radicals
Algebra Glencoe McGraw-Hill Linda Stamper

8. Simplifying Radicals
The simplest form of a radical expression is an expression that has:
No perfect square factors other than 1 in the radicand.
not simplified
No fractions in the radicand.
not simplified
No radicals in the denominator of a fraction.
not simplified

9. Quotient Property of Radicals
zero unnnder the fraction line is unnndefined.
In general, write the fraction in lowest terms.
Write the numerator as a radical and
write the denominator as a radical.
Simplify.
You may not want to write some fractions in lowest terms.

10. Quotient Property of Radicals
zero unnnder the line is unnndefined.
not simplified

11. Quotient Property of Radicals
zero unnnder the fraction line is unnndefined.
Rewrite the problem as one radical.
Write the fraction in lowest terms.
Simplify.

12. Simplify.
Example 1
Example 2
Poor form

13. Simplifying Radicals
The simplest form of a radical expression is an expression that has:
No perfect square factors other than 1 in the radicand.
not simplified
No fractions in the radicand.
not simplified
No radicals in the denominator of a fraction.
not simplified

14. How does this become five tenths? How does this become one half?
Simplifying fractions
answer
How does this become five tenths?
How does this become one half?

15. Rationalizing the Denominator
This is a process used to eliminate a radical from the denominator.
Multiply the numerator and the denominator by the radical shown in the denominator.
Simplify.
The idea is to create a square for the denominator so you can get rid of the radical.

16. Simplify the expression.
Example 3
Example 4
Example 5
Example 6

17. Simplify the expression.
Example 3
Example 4
You cannot reduce because the numerator and the denominator are not both radicals.

18. Simplify the expression.
Example 5
Example 6

19. Practice Problems: Simplify.

20. Simplify.

21. Simplify.

22. Simplify.

23. Simplify.

28. Homework
10-A3 Skills Practice Wkb. Page 63 #1-20.