Worksheets · Algebra 1

Multiplying radicals worksheet

Multiplying is the easy direction: the insides multiply whether they match or not. The work is all in simplifying what comes out.

Select your difficulty

Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Multiplying Radicals

Date Period

Simplify.

  1. 41472
  2. 52266
  3. 410422
  4. 23210
  5. 31162
  6. 735
  7. 314219
  8. 615213
  9. 617711
  10. 26317
  11. 21066
  12. 2143
  13. 214721
  14. 317510
  15. 522721
  16. 1922
  17. 72147
  18. 222515
  19. 72223
  20. 31033

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Multiplying RadicalsAnswer keyVersion 1

Date Period

Simplify.

  1. 41472567
  2. 522666033
  3. 4104223255
  4. 23210430
  5. 311621822
  6. 735335
  7. 3142196266
  8. 61521312195
  9. 61771142187
  10. 263176102
  11. 210662415
  12. 2143242
  13. 214721986
  14. 31751015170
  15. 52272135462
  16. 1922418
  17. 721471963
  18. 22251510330
  19. 722231466
  20. 31033930

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

610

  1. Multiply the insides: 60.
  2. 60 has a factor of 4.

The answer is 215.

Where students go wrong

Leaving the answer as root 60. Multiplying almost always produces a square factor, so the last step is checking whether anything can come out.

Also called multiplying surds or products of radicals.

Questions about these worksheets

Yes. Every multiplying radicals sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the multiplying radicals questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Leaving the answer as root 60. Multiplying almost always produces a square factor, so the last step is checking whether anything can come out.