Difference between revisions of "1970 AHSME Problems/Problem 1"

(Created page with "== Problem == The fourth power of <math>\sqrt{1+\sqrt{1+\sqrt{1}}}</math> is <math>\text{(A) } \sqrt{2}+\sqrt{3}\quad \text{(B) } \tfrac{1}{2}(7+3\sqrt{5})\quad \text{(C) } 1+2...")
 
m (See also)
Line 13: Line 13:
  
 
== See also ==
 
== See also ==
{{AHSME box|year=1970|num-b=1|num-a=2}}   
+
{{AHSME 35p box|year=1970|num-b=1|num-a=2}}   
  
 
[[Category: Introductory Algebra Problems]]
 
[[Category: Introductory Algebra Problems]]
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 15:43, 2 October 2014

Problem

The fourth power of $\sqrt{1+\sqrt{1+\sqrt{1}}}$ is

$\text{(A) } \sqrt{2}+\sqrt{3}\quad \text{(B) } \tfrac{1}{2}(7+3\sqrt{5})\quad \text{(C) } 1+2\sqrt{3}\quad \text{(D) } 3\quad \text{(E) } 3+2\sqrt{2}$

Solution

$\fbox{E}$

See also

1970 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 2
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 31 32 33 34 35
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png