Warm up Simplify. 1. 2. 3..

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Presentation transcript:

Warm up Simplify. 1. 2. 3.

Grade Reports SIGNED!!!!

Questions over simplifying radicals

UNIT QUESTION: How do we simplify and operate radical expressions? Math 1 UNIT QUESTION: How do we simplify and operate radical expressions? Standard: MM1A2 Today’s Question: How do we multiply and divide radicals? Standard: MM1A2b

Multiplying Radicals

Multiplying Radicals Multiply numbers outside the radical with other numbers outside the radical. Multiply radicands with other radicands. Simplify, if possible

Example 1 Multiply then simplify if possible. Simplify 6 x √4 x √15

Example 2 Distribute then simplify if possible. Whole numbers times whole numbers Radicals times radicals

Another Example 4√12 x 3√4 7 (√2 + 3√3)

Your Turn

Dividing Radicals

Dividing Radicals Check to see if you can simplify the radicands and split them up. Simplify PERFECT SQUARES. If there’s a radical in the denominator, rationalize it. Check again to see if any numbers outside the radical can simplify.

Rationalizing the Denominator Multiply top and bottom by the bottom radical Simplify the top The bottom will become the radicand

Reduce the fraction first.

Reduce the fraction first. Split up the square root sign.

Split up the square root sign.

Split up the square root sign.

Split up the square root sign.

Reduce the fraction. Simplify perfect square.

Work Space

Homework p. 144 #1 – 14