Allday Education

Free Simplifying Radicals Worksheet

Ten simplify-a-radical problems with a fully simplified answer key.

Answer key included
Name: Date:
Simplifying Radicals
1.
117\sqrt{117}
2.
275\sqrt{275}
3.
56\sqrt{56}
4.
135\sqrt{135}
5.
189\sqrt{189}
6.
192\sqrt{192}
7.
40\sqrt{40}
8.
153\sqrt{153}
9.
90\sqrt{90}
10.
75\sqrt{75}
Andy · alldayeverydaymath.com
Name: Answer KeyDate:
Simplifying Radicals
1.
117\sqrt{117}
Answer: 3133\sqrt{13}
2.
275\sqrt{275}
Answer: 5115\sqrt{11}
3.
56\sqrt{56}
Answer: 2142\sqrt{14}
4.
135\sqrt{135}
Answer: 3153\sqrt{15}
5.
189\sqrt{189}
Answer: 3213\sqrt{21}
6.
192\sqrt{192}
Answer: 838\sqrt{3}
7.
40\sqrt{40}
Answer: 2102\sqrt{10}
8.
153\sqrt{153}
Answer: 3173\sqrt{17}
9.
90\sqrt{90}
Answer: 3103\sqrt{10}
10.
75\sqrt{75}
Answer: 535\sqrt{3}
Andy · alldayeverydaymath.com

Scroll to see all 10 problems and the answer key on its own page. Printing includes every page.

About this worksheet

Students pull the largest perfect-square factor out of a square root to write it in simplest radical form. The skill behind the quadratic formula and every radical-expression unit.

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