9th Grade Radicals Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Write each answer in simplest radical form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √224.
Answer: 4√14
- 224 = 16 × 14
- √224 = √16 × √14 = 4√14
2.Simplify √18.
Answer: 3√2
- 18 = 9 × 2
- √18 = √9 × √2 = 3√2
3.Simplify √160.
Answer: 4√10
- 160 = 16 × 10
- √160 = √16 × √10 = 4√10
4.Simplify √175.
Answer: 5√7
- 175 = 25 × 7
- √175 = √25 × √7 = 5√7
5.Simplify √28.
Answer: 2√7
- 28 = 4 × 7
- √28 = √4 × √7 = 2√7
6.Simplify √375.
Answer: 5√15
- 375 = 25 × 15
- √375 = √25 × √15 = 5√15
7.Simplify √350.
Answer: 5√14
- 350 = 25 × 14
- √350 = √25 × √14 = 5√14
8.Simplify √60.
Answer: 2√15
- 60 = 4 × 15
- √60 = √4 × √15 = 2√15
9.Simplify √275.
Answer: 5√11
- 275 = 25 × 11
- √275 = √25 × √11 = 5√11
10.Simplify √90.
Answer: 3√10
- 90 = 9 × 10
- √90 = √9 × √10 = 3√10
11.Simplify √504.
Answer: 6√14
- 504 = 36 × 14
- √504 = √36 × √14 = 6√14
12.Simplify √117.
Answer: 3√13
- 117 = 9 × 13
- √117 = √9 × √13 = 3√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.