AoPSWiki
Art of Problem Solving celebrates the many
accomplishments of its students and community members.
Personal tools

1995 AHSME Problems/Problem 2

From AoPSWiki

Problem

If \sqrt {2 + \sqrt {x}} = 3, then x =

\mathrm{(A) \ 1 } \qquad \mathrm{(B) \ \sqrt{7} } \qquad \mathrm{(C) \ 7 } \qquad \mathrm{(D) \ 49 } \qquad \mathrm{(E) \ 121...

Solution

2 + \sqrt{x} = 9 \Longrightarrow \sqrt{x} = 7 \Longrightarrow x = 49 \Rightarrow \mathrm{(D)}

See also

1995 AHSME (Problems)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us