Radical Operations Unit 4-3

Simplifying Radicals: Example 1

Simplifying Radicals: Example 2

Simplifying Radicals: Example 3 _ _

Simplifying Radicals: Example 4 6 3

Simplifying Radicals: Example 5 -3

When multiplying radicals: ***THIS ONLY WORKS IF BOTH RADICALS ARE THE SAME! (For example: both are square roots, or both are cubed roots)

Multiplying Radicals: Example 6

Multiplying Radicals: Example 7

When dividing radicals: RULE: You CANNOT have a radical in the denominator of a fraction. To avoid this, rationalize the denominator. To rationalize the denominator, multiply the top and bottom of the fraction by the radical in the denominator.

Dividing Radicals: Example 8

Dividing Radicals: Example 9

When adding & subtracting radicals… The number under the radical and the radical have to be the SAME! If the radicals are the same, add or subtract the numbers in front of the radicals.

Adding & Subtracting Radicals: Example 10

Adding & Subtracting Radicals: Example 11

When adding & subtracting radicals… If the radicals are NOT the same, simplify the radicals to be the same.

Adding & Subtracting Radicals: Example 12

Adding & Subtracting Radicals: Example 13

ASSIGNMENT: P. 24 #22 – 41 DUE: THURSDAY!!!!