1. Simplifying radicals Rationalizing the denominatior
UNIT 5: Radicals
Simplifying radicals
Rationalizing the denominatior

2. ROOTS
Radical sign
INDEX
Radicand

3. Look for biggest perfect square that is a factor
Simplify Square roots
To simplify square roots. Find the biggest perfect square that divides evenly into the radicand.
Look for biggest perfect square that is a factor
What squared is 16?
What squared is 36x2?

4. Adding square roots
when adding/subtracting radicals you add/sub the coefficient or like radicals. (radicand has to be the same)

5. Multiplying radicals
When multiplying two radicals together, multiply coefficients together & multiply radicands together.

6. Use “FOIL”, BOX, or whatever method you know to multiply
Radical operations
Use “FOIL”, BOX, or whatever method you know to multiply

7. Extra practice multiplying radicals

8. Simplify radicals
Square root look for perfect squares(1,4,9,16,25,36…)
Cube root look for perfect cubes(1,8,27,64,125…)
Fourth root look for perfect fourth powers(1,16,81…)
~FOR EXAMPLE

9. Simplify Radicals
Divide exponents by the index.
Look for perfect square/cubes/fourths to be “pulled” out

10. Radical operations
When add/sub radicals the radicand must be the same and you only add/sub number on outside.
Multiply radicands together and outside number together
When dividing

11. practice Radical operations(easy-hard) pg 371 #11-15 odd
Simplify pg 371 #19-27
Pg 371 #37-41 odd

12. Rationalizing the denominator
In most cases you don’t want to leave radical in the denominator. Rationalizing the denominator is a way to rewrite the expression without radicals in the denominator.