powerpoint presentation

2. Let’s Learn!
 Radicals with the same index and radicand are called like or
similar radicals.
 To add or subtract radicals, combine like or similar radical
terms.

3. Example 1. Add 2 𝟑 + 3 𝟑. Example 2. Add 7 𝟐 + 4 𝟐.
= 2 𝟑 + 3 𝟑
= (2 + 3) 3
= 5 𝟑
= 7 𝟐 + 4 𝟐
= (7 + 4) 2
= 11 𝟐

4. Example 3. Subtract 8
𝟒
𝟏𝟏 - 2
𝟒
𝟏𝟏 Example 4. 5 𝟒 - 2 𝟒
= 8
𝟒
𝟏𝟏 - 2
𝟒
𝟏𝟏
= (8 – 2)
4
11
= 6
𝟒
𝟏𝟏
= 5 𝟒 - 2 𝟒
= (5- 2) 4
= 3 4
= 3(2) = 6
or
= 5 𝟒 - 2 𝟒
= 5(2) – 2(2)
=10 – 4
= 6

5. Example 5. Simplify 2 𝟗 - 3 𝟐𝟓. 6. 4 𝟓 - 3 𝟏𝟔
= 2 𝟗 - 3 𝟐𝟓
= 2(3) – 3(5)
= 6 – 15
= -9
4 5 - 3(4)
4 5 - 12 or -12 + 4 5