Radical Operations Worksheet
Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.
Includes
Fill in the Blanks2 Short AnswerMultiple Choice
Standards
CCSS.MATH.CONTENT.HSA.APR.D.6CCSS.MATH.CONTENT.HSA.APR.D.7
Topics
MathAlgebraRadicalsGrade 10
6 sections · Free to use · Printable
Radical Operations
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Read each question carefully and perform the indicated operations with radical expressions. Simplify all answers completely.
Simplify each radical expression.
1. √72 =
2. ³√108 =
3. √(25x⁴y³) =
Perform the indicated operations. Simplify your answer.
4. 5√3 + 2√3 - 4√3
5. √20 + √45 - √80
6. Which of the following is equivalent to (√6)(√18)?
a
√108
b
6√3
c
18
d
6√2
7. Simplify (2√3 + 5)(√3 - 2)
a
6 - 4√3
b
1 - √3
c
11 - √3
d
-4
Simplify each expression by rationalizing the denominator.
8. 1 / √5
9. (√2 + 3) / √2
10. (4) / (√7 - √3)