Simplifying Radicals worksheet with three sections for practicing radical expressions and algebraic simplification.

Since the user has set all options to false (ExplainAnswer: false, TeachTopic: false, GeneratePractice: false), I will provide only the final answers for all problems in the worksheet.

Final Answer:
Section A:
1) 12√2
2) 3√2 + 7√3
3) 15√5 + 9√7
4) 9√5 + 5√7
5) -5√2
6) 8√2
7) 4√2
8) 10√3
9) 4√7
10) -14√2

Section B:
1) 2√3 - 3
2) 14√7 - 14
3) 25 - √15
4) 8√11 - 22
5) 4
6) 59
7) 26 + 14√3
8) 7√5 + 28 + 2√5 + 8 = 9√5 + 36
9) 6 - 3√7 - 18√7 + 63 = 69 - 21√7
10) 3√3 + 5 - 9√3 - 5 = -6√3
11) 12√7 - 4√7 + 9√7 - 3 = 17√7 - 3
12) 12√3 - 16√6 - 3√6 + 8√2 = 12√3 - 19√6 + 8√2

Section C:
1) 3 + 2√2
2) 15 - 4√11
3) 14 - 6√5
4) 22√3 + 22√7
5) 11(11 - 2√66 + 6) = 11(17 - 2√66) = 187 - 22√66
6) (2√2 + √5)² = 8 + 4√10 + 5 = 13 + 4√10