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Adding and Subtracting Radicals

Practice adding and subtracting radical expressions, simplifying where necessary.

Grade 9 Math AlgebraAdding and Subtracting Radicals
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2 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.APR.A.1

Topics

algebraradicalsgrade 9math
6 sections · Free to use · Printable
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Adding and Subtracting Radicals

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Simplify each radical expression by adding or subtracting the like terms. Remember to simplify radicals first if possible.

1. Simplify: 5√3 + 2√3

2. Simplify: 8√7 - 3√7

3. Simplify: 4√5 + √5 - 2√5

4. Simplify: 6√11 - 9√11 + √11

5. The expression √12 + √27 simplifies to  .

6. When you simplify √50 - √18, the result is  .

7. Simplify 2√8 + 3√2:  .

8. Simplify √45 - √20:  .

9. Which of the following is equivalent to √75 + √48?

a

√123

b

9√3

c

13√3

d

√27 + √16

10. The simplified form of √98 - √32 is:

a

3√2

b

√66

c

√130

d

11√2

11. Simplify: 3√20 + √45 - 2√5

12. Simplify: 5√32 - 2√72 + √18