Higher number

Geometry Level 1

Without using a calculator find the largest of the following numbers.

( sin ⁡ 8 ) 2 { \left( \sin { 8 } \right) }^{ 2 } 8 \sqrt { 8 } 2 8 2 6 \frac { { 2 }^{ 8 } }{ { 2 }^{ 6 } } sin ⁡ 8 2 \sin { { 8 }^{ 2 } } log ⁡ 2 8 \log _{ 2 }{ 8 }

Beppe Marinelli by Beppe Marinelli , 23, Italy

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1 solution

Roger Erisman
Sep 20, 2016

1st : 2^2 = 4

2nd : <= 1 no matter if 8 degrees or 8 radians

3rd : 3 since 2^3 = 8

4th : <= 1 since sin^2 <= 1

5 th : value between 2 and 3 since 2^2 = 4 and 3^2 = 9

so 2^8 / 2^6 is greatest

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