9th Grade Radicals Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 9th Grade exponents & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Indices & Scientific Notation9th Grade Radicals Worksheet — Level 2 — Answers
Write each answer in simplest radical form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √640.
Answer: 8√10
- 640 = 64 × 10
- √640 = √64 × √10 = 8√10
2.Simplify 5√7 − 2√7.
Answer: 3√7
- These are like radicals (both √7)
- 5 − 2 = 3, so 3√7
3.Simplify √135 + √15.
Answer: 4√15
- √135 = 3√15 and √15 = √15
- 3√15 + √15 = 4√15
4.Simplify √5 × √7.
Answer: √35
- √5 × √7 = √35
- 35 has no square factor, so √35 is simplest
5.Simplify √1100.
Answer: 10√11
- 1100 = 100 × 11
- √1100 = √100 × √11 = 10√11
6.Simplify 5√13 + 4√13.
Answer: 9√13
- These are like radicals (both √13)
- 5 + 4 = 9, so 9√13
7.Simplify √117 + √208.
Answer: 7√13
- √117 = 3√13 and √208 = 4√13
- 3√13 + 4√13 = 7√13
8.Simplify √135 × √240.
Answer: 180
- √135 × √240 = √32400
- √32400 = 180
9.Simplify √832.
Answer: 8√13
- 832 = 64 × 13
- √832 = √64 × √13 = 8√13
10.Simplify 6√3 + 9√3.
Answer: 15√3
- These are like radicals (both √3)
- 6 + 9 = 15, so 15√3
11.Simplify √75 + √108.
Answer: 11√3
- √75 = 5√3 and √108 = 6√3
- 5√3 + 6√3 = 11√3
12.Simplify √10 × √90.
Answer: 30
- √10 × √90 = √900
- √900 = 30
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.