MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1995 AMC 12/AHSME
2
Simple square root
Simple square root
Source:
November 19, 2005
Problem Statement
If
2
+
x
=
3
\sqrt{2 + \sqrt{x}} = 3
2
+
x
=
3
, then
x
=
x =
x
=
<
s
p
a
n
c
l
a
s
s
=
′
l
a
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e
x
−
b
o
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>
(
A
)
<
/
s
p
a
n
>
1
<
s
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c
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a
s
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=
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>
(
B
)
<
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>
7
<
s
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c
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a
s
s
=
′
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a
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x
−
b
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>
(
C
)
<
/
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>
7
<
s
p
a
n
c
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a
s
s
=
′
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a
t
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x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
49
<
s
p
a
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c
l
a
s
s
=
′
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a
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x
−
b
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>
(
E
)
<
/
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p
a
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>
121
<span class='latex-bold'>(A)</span>\ 1 \qquad <span class='latex-bold'>(B)</span>\ \sqrt{7} \qquad <span class='latex-bold'>(C)</span>\ 7 \qquad <span class='latex-bold'>(D)</span>\ 49 \qquad <span class='latex-bold'>(E)</span>\ 121
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
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d
′
>
(
A
)
<
/
s
p
an
>
1
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
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d
′
>
(
B
)
<
/
s
p
an
>
7
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
7
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
49
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
121
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