1. Adding and Subtracting Radical Expressions
Strategies : simplify sums and difference of radicals.
EX) 1. root 4 + root 6 = can not be added
2. root 7 + root 7 = 2root 7
3. 6root 19 + 4root 19 = (6+4)root 19 = 10root 19
4. 8root 23 + 3root 23 + 5root 23 = (8+3+5)root 23 = 16root 23
2. Multiplying and Dividing Radical Expressions
Strategies : may be expanded using the distributive property and the multiplication property of
radicals.
EX) 1. root 2 x root 4 = root 8 = 2root 2
2. root 17 x root 23 = root (17 x 23) = root 331
3. 5root 8 x 9root 3 = (5 x 9)root 3 x 8 = 45root 24 = 45 x 2root 6 = 90root 6
4. 8root 14 x 9root 45 = (8×9)root 14×45 = 72root 630 = 72 x 3root 70 = 216root 70