Simplifying Radical Expressions Worksheet With Answers Page 22
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38Distance
3
6
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15
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Height =
d
h =
(3)
= 6 h =
(6)
= 24 h =
(9)
= 54 h =
(12)
= 96 h =
(15)
= 150
10-2 Simplifying Radical Expressions
52. CCSS STRUCTURE Explain how to solve
.
SOLUTION:
To solve an equation of equal ratios, first find the equal cross products and then solve for the variable.
Use the conjugate of
to rationalize the denominator.
So, the solution is
.
53. CHALLENGE Simplify each expression.
a.
b.
c.
SOLUTION:
a .
b.
c.
54. REASONING Marge takes a number, subtracts 4, multiplies by 4, takes the square root, and takes the reciprocal to
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Page 22
get
. What number did she start with? Write a formula to describe the process.
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