This document provides learning targets, a review, and examples for adding, subtracting, and simplifying radical expressions. The learning targets are to convert expressions, apply laws of exponents, perform operations, and simplify radicals. The review section has 4 example problems to simplify radicals. The document then provides examples of adding, subtracting, and combining like and unlike radical terms. It concludes with an assessment section.

2. Learning Targets
Convert the given expression;
Apply law of exponents;
Perform the operation: and
Simplify radical expression.

3. Review
Simplify the following radical expression.
1.
3
𝑎𝑏
24
2.5
(𝑥3𝑦2𝑧)
20
3.
4
4𝑥2
4. 3
𝑚𝑛

4. Drill
Perform the following algebraic expression
1.3a2 + 4a2 =
2.25abc – 10abc =
3.(6x5)(12x3) =
4.45x3y4 / 9x5y=

5. TOPIC 1

6. Rules
To add or subtract radicals, the indices and what is
inside the radical (called the radicand) must be
exactly the same. If the indices and radicands are the
same, then add or subtract the terms in front of each
like radical. If the indices or radicands are not the
same, then you can not add or subtract the radicals.

7. Like Terms
1. 5 10 + 7 10 =
2. 12
2
11+ 18
2
11 =
3. −17
3
5+ 22
3
5=
4. 15
3
13 +
3
13=
5. −7
5
17+ ( −2
5
17 )=

8. Like Terms
1. 7 10 - 5 10 =
2. 18
2
11 − 12
2
11 =
3. −17
3
5 − 22
3
5=
4. 15
3
13 −
3
13=
5. −7
5
17 - ( −2
5
17 )=

9. unlike Terms
1. 3 8 + 5 2 =
2. 2
2
5 + 3
2
20 =
3. −4
3
24 + 7
3
81=
4. 9 50 + 5 44=
5. 3 99 + 7 44=

10. unlike Terms
1. 5 98 - 5 50 =
2. 2
2
28 − 3
2
63 =
3. −11
3
40 − 7
3
115=
4. 5 192 − 5 300=
5. 3 72 − 7 98=

11. Assessment