TOTALLY RADICAL DUDE!!!!
Practice with Radicals ADDIT IO N & SUBTRACTION WITH RADICALS Simplify radicand first if possible. If the radicands are the same treat them as variables and combine like terms. Examples: 1. 2 5 + 6 5 = 8 5
2. 2 + 3 − 7 + 4 3 = −5 + 5 3
Or 5 3 − 5
If the radicands are different, they can not be combined. Only those that are alike can be combined. Examples: 1. 2 7 4 5 = This is already simplified because the radicands, 7 and 5, are different. 2. 3 3 + 5 5 = This is already simplified because the radicands, 3 and 5, are different Practice 1.
5 3+2 3
2.
3 2 + 2 32
3.
6 2+ 2
4.
8 6 −5 6
5.
3 7 −9 7
6.
7.
5 3 + 2 75
8.
9.
3 3 + 27
18 + 32
4 5 +3 7
10.
2 6 − 5 6 + 24
11, 3 5 + 6 2 − 3 2 + 5
12.
63 − 49 + 2 28
13. 4 3 + 2 3 − 6 3
14. 3 2 + 8 + 2
15. 5 8 − 3 18 + 3
16. 5 3 + 12
17.
24 + 5 6
18.
8 + 27 − 32
19.
72 − 50
20. 8 3 − 6 3
21. 5 x + 9 x
22. 7 2 x + 3 2 x
23. 3 12 + 7 5 − 10 5
24. 8 x 3 − 6 x 3
25.
8 + 27 + 32
26. −3 6 x + 4 12 x − 7 3 x
27. 5 28 − 5 24 + 3 7a
28. −2b 24 − 6b 2 + 5 6
29. −6 27 − 4 54
30. 4 8 x − 4 12 x