9th Grade Radicals Worksheet — Level 1 — Practice Set 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 1 — Practice Set 2 — Answers
Write each answer in simplest radical form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √108.
Answer: 6√3
- 108 = 36 × 3
- √108 = √36 × √3 = 6√3
2.Simplify √117.
Answer: 3√13
- 117 = 9 × 13
- √117 = √9 × √13 = 3√13
3.Simplify √24.
Answer: 2√6
- 24 = 4 × 6
- √24 = √4 × √6 = 2√6
4.Simplify √250.
Answer: 5√10
- 250 = 25 × 10
- √250 = √25 × √10 = 5√10
5.Simplify √50.
Answer: 5√2
- 50 = 25 × 2
- √50 = √25 × √2 = 5√2
6.Simplify √160.
Answer: 4√10
- 160 = 16 × 10
- √160 = √16 × √10 = 4√10
7.Simplify √126.
Answer: 3√14
- 126 = 9 × 14
- √126 = √9 × √14 = 3√14
8.Simplify √325.
Answer: 5√13
- 325 = 25 × 13
- √325 = √25 × √13 = 5√13
9.Simplify √27.
Answer: 3√3
- 27 = 9 × 3
- √27 = √9 × √3 = 3√3
10.Simplify √175.
Answer: 5√7
- 175 = 25 × 7
- √175 = √25 × √7 = 5√7
11.Simplify √208.
Answer: 4√13
- 208 = 16 × 13
- √208 = √16 × √13 = 4√13
12.Simplify √28.
Answer: 2√7
- 28 = 4 × 7
- √28 = √4 × √7 = 2√7
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.