Grade 9 · Math · Algebra 1

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

6 printable versionsOn Level10 questions · answer keyFree · no account

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Add, subtract and multiply square roots and cube roots

Grade 9 Math Worksheet

NameDate

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

Kira's worksheet shows √12 + √27. Simplify each root first. What is the answer as one root term? Write it like 2√11.
Luz measures two rug edges, √50 m and √8 m, and adds them. Simplify each root first. What is the answer as one root term? Write it like 2√11.
In math club, Noah works out √98 − √32. Simplify each root first. What is the answer as one root term? Write it like 2√11.
Ren's robot multiplies 3√2 × 4√10 (and asks for a snack break after). Fully simplified, the product is a whole number times √5. What is that whole number?
In math club, Tala multiplies 4√5 × 2√15. Fully simplified, the product is a whole number times √3. What is that whole number?
Zee's padlock code comes from 3√7 × 2√14. Fully simplified, the product is a whole number times √2. What is that whole number?
7.
Ari's worksheet shows √6 × √15. Which is the product fully simplified?
- √90
- 3√10
- √21
- 9√10
8.
Bo's robot multiplies √10 × √14. Which is the product fully simplified?
- √140
- √24
- 4√35
- 2√35
9.
In math club, Esme multiplies √3 × √15 on the board. Which is the product fully simplified?
- 9√5
- √45
- √18
- 3√5
10.
Jun's window is √2 ft wide and √22 ft tall, so its area is √2 × √22 square feet. Which is the product fully simplified?
- √24
- 4√11
- √44
- 2√11

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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