GEOMETRY MODULE 2 LESSON 23 ADDING AND …

[Pages:3]GEOMETRY MODULE 2 LESSON 23 ADDING AND SUBTRACTING EXPRESSIONS WITH RADICALS

OPENING EXERCISE Simplify each expression without a calculator. 1. 32 = 16 2 = 42

2. 45 = 9 5 = 35

3. 300 = 100 3 = 103

ADDITION AND SUBSTRATION RULES FOR SQUARE ROOTS Simplify all radical terms before adding/subtracting. Only terms with the same radicand can be added and/or subtracted. Add/Subtract the coefficients and keep the radical.

PRACTICE 1. 22 + 32 + 1.52 = (2 + 3 + 1.5)2 = 6.52

2. 511 - 1711 = (5 - 17)11 = -1211

3. 43 - 23 + 35 = (4 - 2)3 + 35 = 23 + 35

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At first glance, the radicands are not the same. Reconsider after simplifying the radical term. Hint: Try to make the larger radicand look like the smaller radicand.

4. -155 + 45 = -155 + 9 5 = -155 + 35 = -125

5. 192 + 28 = 192 + 24 2 = 192 + 2 22 = 192 + 42 = 232

6. 412 - 75 = 44 3 - 25 3 = 4 23 - 53 = 83 - 53 = 33

7. 32 + 2 = 16 2 + 2 = 42 + 2 = 52

8. 7 + 210 Cannot be combined.

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ON YOUR OWN 1. 598 - 38 = 549 2 - 34 2 = 5 72 - 3 22 = 352 - 62 = 292

2. 1150 + 52 = 1125 2 + 52 = 11 52 + 52 = 552 + 52 = 602

3. Challenge: 183 - 332 = 9 2 2 - 316 2 = 32 - 122 = -92

HOMEWORK Problem Set Module 2 Lesson 23 page 176-177: #1-9 Due: Wednesday, Dec 7 (Corrections)

Friday, Dec 9 (No Corrections)

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