Difference between revisions of "The Root of Root Conjecture"
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===The Conjecture=== | ===The Conjecture=== | ||
| − | If it exists an expression that <math>\sqrt{a + 2 \sqrt{b}}</math> for <math>a \geq 0</math> and <math>b \geq 0</math>, then the solution | + | If it exists an expression that <math>\sqrt{a + 2 \sqrt{b}}</math> for <math>a \geq 0</math> and <math>b \geq 0</math>, then the solution can be simplified to <math>x + \sqrt{y},</math> for some numbers <math>x</math> and <math>y</math>, such that <math>x+y=a</math> and <math>xy=b.</math> |
Latest revision as of 01:17, 23 December 2023
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Created on January 23, 2021 4:51 PM PT when mathboy282 discovered a pattern in a MSM post.
The Conjecture
If it exists an expression that 
for 
and 
, then the solution can be simplified to 
for some numbers 
and 
, such that 
and 
