Difference between revisions of "2006 Cyprus MO/Lyceum/Problem 9"
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==Problem== | ==Problem== | ||
| − | {{ | + | If <math>x=\sqrt[3]{4}</math> and <math>y=\sqrt[3]{6}-\sqrt[3]{3}</math>, then which of the following is correct |
| + | |||
| + | A. <math>x=y</math> | ||
| + | |||
| + | B. <math>x<y</math> | ||
| + | |||
| + | C. <math>x=2y</math> | ||
| + | |||
| + | D. <math>x>2y</math> | ||
| + | |||
| + | E. None of these | ||
==Solution== | ==Solution== | ||
Revision as of 21:24, 17 October 2007
Problem
If ![$x=\sqrt[3]{4}$](http://latex.artofproblemsolving.com/c/c/2/cc27e42aa8ca74f047f8a090afeef7b57eb84829.png)
and ![$y=\sqrt[3]{6}-\sqrt[3]{3}$](http://latex.artofproblemsolving.com/6/1/8/61891fe4ee8185b4fd6dd052bcd60a6b5ef960e6.png)
, then which of the following is correct
A. 
B. 
C. 
D. 
E. None of these
Solution
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See also
| 2006 Cyprus MO, Lyceum (Problems) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 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 | ||
