10th Grade Radicals Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 10th Grade exponents & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Indices & Scientific Notation10th Grade Radicals Worksheet — Level 1 — Practice Set 4 — Answers
Write each answer in simplest radical form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √40.
Answer: 2√10
- 40 = 4 × 10
- √40 = √4 × √10 = 2√10
2.Simplify √45.
Answer: 3√5
- 45 = 9 × 5
- √45 = √9 × √5 = 3√5
3.Simplify √325.
Answer: 5√13
- 325 = 25 × 13
- √325 = √25 × √13 = 5√13
4.Simplify √28.
Answer: 2√7
- 28 = 4 × 7
- √28 = √4 × √7 = 2√7
5.Simplify √240.
Answer: 4√15
- 240 = 16 × 15
- √240 = √16 × √15 = 4√15
6.Simplify √504.
Answer: 6√14
- 504 = 36 × 14
- √504 = √36 × √14 = 6√14
7.Simplify √112.
Answer: 4√7
- 112 = 16 × 7
- √112 = √16 × √7 = 4√7
8.Simplify √18.
Answer: 3√2
- 18 = 9 × 2
- √18 = √9 × √2 = 3√2
9.Simplify √375.
Answer: 5√15
- 375 = 25 × 15
- √375 = √25 × √15 = 5√15
10.Simplify √12.
Answer: 2√3
- 12 = 4 × 3
- √12 = √4 × √3 = 2√3
11.Simplify √216.
Answer: 6√6
- 216 = 36 × 6
- √216 = √36 × √6 = 6√6
12.Simplify √208.
Answer: 4√13
- 208 = 16 × 13
- √208 = √16 × √13 = 4√13
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.