Name DateWORKSHEET 7.5: ADDING AND SUBTRACTING RADICALS
-------------------------------------------------------------------------------------Follow the steps below to add or subtract radicals:- Only radicals with the same radicands can be added or subtracted.
- If the radicals are different, try to simplify one or both of the radicals.
- Once the radicals are simplified, add or subtract the numbers directly preceding the
radicals that are the same.
EXAMPLES
√
5 +√
45 =
√
5 +
√
9 ·
√
5 =
√
5 + 3
√
5 = 4
√
5
√
48 −
√
27 =
√
16 ·
√
3 −
√
9 ·
√
3 = 4
√
3 − 3
√
3 =
√
3
√
20 +
√
32 =
√
4 ·
√
5 +
√
16 ·
√
2 = 2
√
5 + 4
√
2
DIRECTIONS: Find the sums or differences.
√
40 −
√
90 2.
√
8 +
√
20 3.
√
16 −
√
72
√
5 +
√
10 5.
√
9 +
√
100 6.
√
15 −
√
90
√
28 +
√
63 8.
√
12 −
√
10 9.
√
15 +
√
20
√
12 − 5
√
27 11. − 3
√
8 − 5
√
40 12.
√
45 −
√
20
CHALLENGE:√
4 +√
4 =√- Do you agree or disagree? Explain your
reasoning.
261Copyright
©
2011 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla. All rights reserved.