ADDING AND SUBTRACTING RADICAL EXPRESSIONS
Perform the indicated operations and simplify as completely as possible.
1. a) 3a + a + 5a
b) 3 7
7
2. a) 7a – a
b) 7 11
11
3. a) 6a + b
b) 6 2
5
4. a) a + a
b)
13
13
5.
11 8 2
2 3 11
5 7
6. 5 5 2 5 4 3
7. a) 4(a – b) + 5(b – a)
b)
8.
9.
10.
12
27
11.
49
50
12.
28
7
13. 6 8
98
14. 8 25 3 21
8z
15.
16m
64m
17.
54 x
24 x
16.
18z
18.
2
20.
20 x 8
80 x 8
21. 5 16 x 4
22.
27 x 4
48 x 4
23.
24.
36 x
4 18
19. 4 45 3 20
100 x
3 25x 4
6 3 54
25. 3 49 5 28
ADDING AND SUBTRACTING RADICAL EXPRESSIONS
Homework
Perform the indicated operations and simplify as completely as possible.
5 + 2 5 + 3 5
1.
a)
x + 2x + 3x
b)
2.
a)
4x - x
b)
4 6 -
3.
a)
3x + 5y
b)
3 5 + 5 3
4.
a)
x+x
b)
5.
5 +
6
5
5 + 3 7 - 4 5 - 5 7
6.
3 3 + 4 3 -
2(x - y) + 3(y - x)
b)
2( 5 -
3 ) + 3( 3 -
9.
6( m -
n ) - (3 m + 6 n )
7.
a)
8.
5(3 6 + 2 7 ) - 4( 7 - 2 6 )
10.
8 +
12.
20 - 5
18
11.
25 +
24
13.
4 12 -
75
2
5)
20 +
14.
16.
40 + 60
5 36 + 4 30
18.
12w +
20.
20x 8 -
3 72 - 5 32
15.
27w
80x 8
17.
25x +
36x
19.
45x 3 -
20x 3
5 16x 4 + 3 25x 4
21.
22.
23.
Answers to odd problems:
1. a) 6x
b) 6 5
3.
5. -3 5 - 2 7
7.
b) - 5 +
11. 5 + 2 6
13. 3 3
15.
19. x 5x
21. 35x2
22.
a) -x + y
a) 3x + 5y
-2 2
3
b) 3 5 + 5 3
9. 3 m - 12 n
17. 11 x
23.