Grade 9 · Math · Algebra 1

9th grade Add, subtract and multiply square roots and cube roots worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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Add, subtract and multiply square roots and cube roots

Grade 9 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

1.
Kira's worksheet shows √2(√8 + 3). Which is the product, fully simplified?
- √10 + 3√2
- 4 + 3√2
- 7
- 16 + 3√2
2.
Luz's robot multiplies out √3(√12 + 5). Which is the product, fully simplified?
- 36 + 5√3
- 6 + 5√3
- √15 + 5√3
- 11
3.
In math club, Milo multiplies out √5(√20 − 2). Which is the product, fully simplified?
- √25 − 2√5
- 8
- 10 − 2√5
- 100 − 2√5
4.
Noah's padlock tag shows √6(√6 + 4) (it is a very fancy padlock). Which is the product, fully simplified?
- 6 + 4√6
- 10
- 36 + 4√6
- √12 + 4√6
Pia stacks two cube-shaped blocks with edges ∛24 cm and ∛81 cm. How tall is the stack, as a whole number times ∛3? What is that whole number?
Ren's robot works out ∛250 − ∛16. The answer is a whole number times ∛2. What is that whole number?
Zee's worksheet shows ∛375 − ∛81. The answer is a whole number times ∛3. What is that whole number?
Each side of Ari's square tile is √18 cm. The distance around it is a whole number times √2 cm. What is that whole number?
Each side of Bo's square card is √50 cm (a card for very exact birthday wishes). The distance around it is a whole number times √2 cm. What is that whole number?
Each side of Jun's square quilt patch is √75 cm. The distance around it is a whole number times √3 cm. What is that whole number?

Add, subtract and multiply square roots and cube roots. Every version has 10 questions, and the answer key prints on the second page.

Standard: N-RN.A.2

like roots: Roots with the same number underneath, like 3√5 and 4√5.

front number: The number in front of the root, the 3 in 3√5.

copies: 3√5 is three copies of √5 added together.

fully simplified: No pair (or triple) of equal factors is left under the root.

distribute: Multiply the number outside the brackets by every term inside.

Your child added or subtracted the numbers under the roots, for example writing √10 for √2 + √8.

Your child multiplied the front numbers when adding like roots.

Your child multiplied the numbers under the roots and then forgot to take the square root.

Ask: is √9 + √16 the same as √25?

Ask: what are 3 apples plus 4 apples? Then 3√5 + 4√5?

Ask: what is √100?

What is the most common mistake with add, subtract and multiply square roots and cube roots?

Your child added or subtracted the numbers under the roots, for example writing √10 for √2 + √8.

How can I help my child with add, subtract and multiply square roots and cube roots?

Ask: is √9 + √16 the same as √25?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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