10th Grade Radicals Worksheet — Level 1 — 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 — Answers
Write each answer in simplest radical form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √72.
Answer: 6√2
- 72 = 36 × 2
- √72 = √36 × √2 = 6√2
2.Simplify √24.
Answer: 2√6
- 24 = 4 × 6
- √24 = √4 × √6 = 2√6
3.Simplify √208.
Answer: 4√13
- 208 = 16 × 13
- √208 = √16 × √13 = 4√13
4.Simplify √224.
Answer: 4√14
- 224 = 16 × 14
- √224 = √16 × √14 = 4√14
5.Simplify √40.
Answer: 2√10
- 40 = 4 × 10
- √40 = √4 × √10 = 2√10
6.Simplify √250.
Answer: 5√10
- 250 = 25 × 10
- √250 = √25 × √10 = 5√10
7.Simplify √240.
Answer: 4√15
- 240 = 16 × 15
- √240 = √16 × √15 = 4√15
8.Simplify √99.
Answer: 3√11
- 99 = 9 × 11
- √99 = √9 × √11 = 3√11
9.Simplify √50.
Answer: 5√2
- 50 = 25 × 2
- √50 = √25 × √2 = 5√2
10.Simplify √44.
Answer: 2√11
- 44 = 4 × 11
- √44 = √4 × √11 = 2√11
11.Simplify √80.
Answer: 4√5
- 80 = 16 × 5
- √80 = √16 × √5 = 4√5
12.Simplify √45.
Answer: 3√5
- 45 = 9 × 5
- √45 = √9 × √5 = 3√5
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.