Name
Date
Class
Practice A
LESSON
11-6 Radical Expressions
Complete the steps to simplify each expression.
2
4 8
3. 5 12 25 144 169 13
32 ___
1.
2
2. 72 8 2
6. x 2 6x 9 x
Simplify. All variables represent nonnegative numbers.
7. 72 36 2
8. 300 100 3
36 2
100 6
2
10. 500 5 100
11. 90 13.
3
4
x
__
17.
2
x
x _____
100x
___9
32
21b 2
21
b
_____ __________
4
25c 4
15.
25c
b 21
_______
4x 2
3
4x
_____
18.
2
x
__
4 2
____
1219x
5c 2
10b
_____
16b
2
5
20.
bc
2
98xy
2
10b
______
4
9
5
2
b c 2
7y 2x
2
y
19.
12.
3y
_____
10
y
9y
9y
____
______
4
16x
16x 4
1
_____
16.
10 3
2
14.
3 10
1
1 _____
____
100
100
9. b 2 c 2 b 2 c 2
3
3
9 10
10 5
8
b 4 2 b 4 4.
9
5. 10 2 19 64 _____
21.
2
11x x
________
3
3
28825x
_____
4
12x 2x
_________
5
22. A ladder is propped up against a house. The top of the ladder
rests 18 ft above the ground and the base of the ladder is 4 ft
from the building. Write the length of the ladder as a radical
expression in simplest form. Then estimate the length to the
nearest hundredth of a foot.
FT
2 85 ft; 18.44 ft
FT
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c11-6_pr.indd 43
43
Holt Algebra 1
12/26/05 8:23:54 AM
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x
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RESTS FT ABOVE THE GROUND AND THE BASE OF THE LADDER IS FT
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NEAREST HUNDREDTH OF A FOOT
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Copyright © by Holt, Rinehart and Winston.
All rights reserved.
AK4up.indd 85
3IMPLIFY
7RITE THE RADICAND AS
A PRODUCT
q
5SE 0RODUCT 0ROPERTY
OF 3QUARE 2OOTS
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4HREE CRUISE SHIPS LEFT A HARBOR AT THE SAME TIME 4HE 0RINCESS 7ILMA
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AT MIH AND THE +ING &RANK TRAVELED DUE EAST AT MIH (OW FAR IS
THE 0RINCESS 7ILMA FROM THE OTHER TWO SHIPS AFTER TWO HOURS 'IVE EACH
ANSWER AS A RADICAL EXPRESSION IN SIMPLEST FORM 4HEN ESTIMATE EACH
ANSWER TO THE NEAREST TENTH OF A MILE
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0RINCE 4HEODORE\Ê{ÊÊr£ÎäÊʓˆ]Êz{x°ÈʓˆÆÊ+ING &RANK \Ê£ÓÊÊr£ÎÊʓˆ]Êz{ΰÎʓˆ
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THERE ARE NO SQUARE ROOTS IN THE DENOMINATOR
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THE RADICAND HAS NO FRACTIONS
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££‡È 2ADICAL %XPRESSIONS
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#OPYRIGHT © BY (OLT 2INEHART AND 7INSTON
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85
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Holt Algebra 1
12/26/05 8:00:58 AM