Difference between revisions of "1971 AHSME Problems/Problem 32"
(→Solution) |
(→Solution) |
||
Line 7: | Line 7: | ||
== Solution == | == Solution == | ||
− | First, we write the expression as <math>(1+\frac{1}{\sqrt[32]{2}})(1+\frac{1}{\sqrt[16]{2}})(1+\frac{1}{\sqrt[8]{2}})(1+\frac{1}{\sqrt[4]{2}})(1+\frac{1}{\sqrt[2]{2}})</math> | + | First, we write the expression as <math>(1+\frac{1}{\sqrt[32]{2}})(1+\frac{1}{\sqrt[16]{2}})(1+\frac{1}{\sqrt[8]{2}})(1+\frac{1}{\sqrt[4]{2}})(1+\frac{1}{\sqrt[2]{2}})</math>, or <math>(1+\frac{1}{\sqrt[32]{2}})(1+\frac{1}{\sqrt[32]{4}})(1+\frac{1}{\sqrt[32]{8}})(1+\frac{1}{\sqrt[32]{16}})(1+\frac{1}{\sqrt[32]{32}})</math> |
Revision as of 22:53, 16 August 2019
Problem 32
If , then
is equal to
Solution
First, we write the expression as , or