Operations With Radicals
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1
2
3Regents Exam Questions A2.A.14: Operations with Radicals 3
Name: ________________________
A2.A.14: Operations with Radicals 3: Perform addition, subtraction, multiplication, and division
of radical expressions
7 Simplify: ( x
2
y )
a
b
1 Simplify:
b
a
8 Simplify: (2 a b)(a 2 b )
2
2
3
a
b
a
c
2 Simplify:
c
b
2b 3a 18b
3
7ab 6b is
9 The expression 4ab
equivalent to
2ab 6b
1)
5
8
108x
y
3 Express
in simplest radical form.
16ab 2b
2)
5
6xy
5ab 7ab 6b
3)
5ab 2b 7ab 6b
4)
Ê
ˆ
Á Á
˜ ˜
Ê
ˆ
x 1
x 1
Á Á
˜ ˜
Á Á
˜ ˜
2
1
4 Simplify:
Á Á
˜ ˜
Á Á
˜ ˜
x
x 1
x 1
Á
˜
Á Á
˜ ˜
a 2 ab
2
10 Simplify:
Ë
¯
Ë
¯
2a
2
Ê
ˆ
a
Á Á
˜ ˜
5 The expression 2 3 x
11 Simplify:
is equivalent to
Á
˜
2
2
Ë
¯
4 9x
1)
4 3x
2)
4 12 x 9x
3)
4 12 x 6x
4)
1
a a
2
2
3
2
12 Simplify: b
b
a
b
2
ab
6 The legs of a right triangle are represented by
x
2 and x
2 . The length of the hypotenuse
x
x 2
of the right triangle is represented by
13 Simplify:
x
x 2
2
4
1)
2x
2
4
2x
2)
x 2 2
3)
2
2
4)
x
1
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