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Copy of Radical Radicals

By: Tina, Jenn, and Shania
by

Stephanie Carroll

on 12 February 2013

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Transcript of Copy of Radical Radicals

Radical Radicals * Find a partner
* Get cards
* On each card there will be either an eqaution or an answer.
* Every card has a match. They are scattered around the classroom. For example, if you have an equation you must go find the answer.
* Once you have the matches to all your cards, bring them up to us to check them. Helpful Tips
* Check if the numbers under the radical sign can be factored using perfect squares.
36 =6

* Always remember to combine like radicals.

Note: Answers with radicals are exact. Decimals are only approximate. Basic Operations Game Rules What is a radical? Ready
Set
GO!! 1.) Changing mixed radicals to entire
2.) Multiplying & dividing radicals
3.) Adding & subtracting radicals A square, cube, or higher root
Mixed radicals have a coefficient other than one, for example... 3 √2
Entire radicals have a coefficient of one
For example... √9 1.) Mixed to Entire 2 7
= 4 x 7
= 28 To make this an entire radical we expressed 2 as the square root of 4. Then we multiplied the numbers under the radical signs to get 28. Entire to Mixed 12
= 3 x 4
= 2 3 To make this a mixed radical we found the largest factor of 12 with a whole square root (4). Then we expressed the root of 4 as 2. 2.) Multiplying & Dividing Multiplying Dividing 3 x 7
= 3 x 7
= 21 Multiply all like terms together: coefficients are multiplied together and radicands are multiplied together. 15 28
3 7
=5 4
=5 x 2
= 10 Divide the radicand on top by the radicand on the bottom, then coefficient on top by the coefficient on the bottom. c a X d b = cd ab c a
d b
= c a
d b 3.) Adding and Subtracting 3 3 + 8 2 - 4 3 + 11 2
= - 3 + 19 2 Only add and subtract like terms. For example, -4 3 can be subtracted from 3 3 because the radicands are the same. a b + c b + c d
=(a+c) b + c d Like Terms 3 5 Index Radical Sign Radicand Thanks for watching!
Good Luck on exams! 8 Coefficient Practice: 1. 48 = k 3 2. 200 = k 2 3. 5 7 = k 4. 8 2 = k Practice: 1. 8 * 4 = k 2. 6 11 * 5 2 = k 22 3. 32 27
8 3 4. 16 28
2 7 1. 48 = 16 * 3 = 4 * 4 * 3 = 4 3 k=4 2. 200 = 100 * 2 = 10 * 10 * 2 = 10 2 k=10 3. 5 7 = 25 * 7 = 175 k = 175 4. 8 2 = 64 * 2 = 128 k = 128 Answers: = k = k Answers: 1. 32 2. 30 22 3. 4 * 27
3 = 4 * 9 = 4 * 3 = 12 4. 8 * 28
7 = 8 * 4 = 8 * 2 = 16 Practice: 1. 4 5 + 3 5 + 7 8 - 4 8 2. 12 + 4 3 = k 3 3. 9 2 - 50 = k 2 Answers: 1. 4+3 5 + 7 - 3 8 = 7 5 + 4 8 2. 4 * 3 + 4 3 = 2 3 + 4 3 = 2+4 3 = 6 3 3. 9 2 - 2 * 25 = 9 2 - 5 2 = 9-5 2 = 4 2
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