9th Grade Radicals Worksheet — Level 2 — Practice Set 3 — 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 — Practice Set 3 — Answers
Write each answer in simplest radical form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √448.
Answer: 8√7
- 448 = 64 × 7
- √448 = √64 × √7 = 8√7
2.Simplify 6√13 − 3√13.
Answer: 3√13
- These are like radicals (both √13)
- 6 − 3 = 3, so 3√13
3.Simplify √125 + √45.
Answer: 8√5
- √125 = 5√5 and √45 = 3√5
- 5√5 + 3√5 = 8√5
4.Simplify √2 × √3.
Answer: √6
- √2 × √3 = √6
- 6 has no square factor, so √6 is simplest
5.Simplify √108.
Answer: 6√3
- 108 = 36 × 3
- √108 = √36 × √3 = 6√3
6.Simplify 5√5 + 5√5.
Answer: 10√5
- These are like radicals (both √5)
- 5 + 5 = 10, so 10√5
7.Simplify √48 + √75.
Answer: 9√3
- √48 = 4√3 and √75 = 5√3
- 4√3 + 5√3 = 9√3
8.Simplify √2 × √5.
Answer: √10
- √2 × √5 = √10
- 10 has no square factor, so √10 is simplest
9.Simplify √320.
Answer: 8√5
- 320 = 64 × 5
- √320 = √64 × √5 = 8√5
10.Simplify 5√10 + 6√10.
Answer: 11√10
- These are like radicals (both √10)
- 5 + 6 = 11, so 11√10
11.Simplify √40 + √160.
Answer: 6√10
- √40 = 2√10 and √160 = 4√10
- 2√10 + 4√10 = 6√10
12.Simplify √11 × √44.
Answer: 22
- √11 × √44 = √484
- = 22
Marking tips
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