To solve the problems on this worksheet, we need to multiply square roots. The key idea is that when you multiply two square roots together, you can combine them under one square root symbol and then simplify if possible.
Let’s go through a few examples step by step:
1.
√2 × √8
- Combine the square roots: √(2 × 8) = √16
- Simplify: √16 = 4
2.
√3 × √27
- Combine the square roots: √(3 × 27) = √81
- Simplify: √81 = 9
3.
√5 × √5
- Combine the square roots: √(5 × 5) = √25
- Simplify: √25 = 5
4.
√6 × √24
- Combine the square roots: √(6 × 24) = √144
- Simplify: √144 = 12
5.
√7 × √63
- Combine the square roots: √(7 × 63) = √441
- Simplify: √441 = 21
6.
√10 × √10
- Combine the square roots: √(10 × 10) = √100
- Simplify: √100 = 10
7.
√11 × √121
- Combine the square roots: √(11 × 121) = √1331
- Simplify: √1331 = 11
8.
√12 × √12
- Combine the square roots: √(12 × 12) = √144
- Simplify: √144 = 12
9.
√13 × √169
- Combine the square roots: √(13 × 169) = √2197
- Simplify: √2197 = 13
10.
√14 × √14
- Combine the square roots: √(14 × 14) = √196
- Simplify: √196 = 14
11.
√15 × √225
- Combine the square roots: √(15 × 225) = √3375
- Simplify: √3375 = 15
12.
√16 × √16
- Combine the square roots: √(16 × 16) = √256
- Simplify: √256 = 16
13.
√17 × √289
- Combine the square roots: √(17 × 289) = √4913
- Simplify: √4913 = 17
14.
√18 × √18
- Combine the square roots: √(18 × 18) = √324
- Simplify: √324 = 18
15.
√19 × √361
- Combine the square roots: √(19 × 361) = √6859
- Simplify: √6859 = 19
16.
√20 × √20
- Combine the square roots: √(20 × 20) = √400
- Simplify: √400 = 20
Final Answer:
4, 9, 5, 12, 21, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20
Parent Tip: Review the logic above to help your child master the concept of multiplication of radicals worksheet.
