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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