5.6 Radical Expressions
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Date____________________ HW Honors p254 (16-48) evens Regular p254(16,20,24, 28,36,40,42,44,46) Notes Section 5.6 – Radical Expressions • •
Simplify radical expressions Add, subtract, multiply and divide radical expressions
Directions: Simplify each expression EX1. 1.) 16 p 8 q 7
ST1. 1.) 25 a 4 b 9
________________
__________________
2.)
2.)
3
24 x 4 y 5
________________
3
56 x 4 y 3
__________________ SIMPLIFYING QUOTIENTS
EX2.
ST2. 4
x y5
1.)
________________ 2.)
5
y8 x7
1.)
__________________
5 4a
2.)
________________
3
2 9x
__________________ MULTIPLYING RADICALS
EX3. 1.) 6 3 9n 2 ⋅ 33 24 n
ST3. 1.) 5 3 100 n 2 ⋅ 3 10 n
________________
__________________
(
)(
2.) 3 12 2 21
)
(
)(
2.) − 2 32 3 27
)
________________
(
)(
__________________
3.) 3 5 − 2 3 2 + 3
)
(
________________ 4.)
(
11 − 2
)
)(
3.) 5 + 6 5 − 2
)
__________________
2
4.)
________________
(
3− 5
)
2
__________________ ADD & SUBTRACT
EX4.
ST4.
1.) 2 12 −3 27 + 2 48
1.) 3 45 −5 80 + 4 20
________________
__________________
EX5. 1.)
1− 3 5+ 3
________________
DIVIDING *****Use a conjugate to rationalize a denominator***** ST5. 1.)
−2 − 3 1+ 3
__________________
Simplify radical expressions Add, subtract, multiply and divide radical expressions
Directions: Simplify each expression EX1. 1.) 16 p 8 q 7
ST1. 1.) 25 a 4 b 9
________________
__________________
2.)
2.)
3
24 x 4 y 5
________________
3
56 x 4 y 3
__________________ SIMPLIFYING QUOTIENTS
EX2.
ST2. 4
x y5
1.)
________________ 2.)
5
y8 x7
1.)
__________________
5 4a
2.)
________________
3
2 9x
__________________ MULTIPLYING RADICALS
EX3. 1.) 6 3 9n 2 ⋅ 33 24 n
ST3. 1.) 5 3 100 n 2 ⋅ 3 10 n
________________
__________________
(
)(
2.) 3 12 2 21
)
(
)(
2.) − 2 32 3 27
)
________________
(
)(
__________________
3.) 3 5 − 2 3 2 + 3
)
(
________________ 4.)
(
11 − 2
)
)(
3.) 5 + 6 5 − 2
)
__________________
2
4.)
________________
(
3− 5
)
2
__________________ ADD & SUBTRACT
EX4.
ST4.
1.) 2 12 −3 27 + 2 48
1.) 3 45 −5 80 + 4 20
________________
__________________
EX5. 1.)
1− 3 5+ 3
________________
DIVIDING *****Use a conjugate to rationalize a denominator***** ST5. 1.)
−2 − 3 1+ 3
__________________
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