Triangular numbers - Roots with bases other than 1

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SUMMARY

This discussion centers on calculating the square root of triangular numbers using bases other than 1, specifically focusing on triangular numbers such as 2, 6, 12, and 20. The user initially sought assistance in deriving a formula but concluded that dividing the triangular number by the base allows for the application of the standard square root formula. This method simplifies the calculation process for triangular numbers in various bases.

PREREQUISITES
  • Understanding of triangular numbers and their properties
  • Basic knowledge of square root calculations
  • Familiarity with mathematical bases and conversions
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Research the properties of triangular numbers in different bases
  • Learn about the formula for triangular numbers and their derivations
  • Explore advanced square root algorithms for non-standard bases
  • Investigate mathematical software tools for numerical calculations
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Mathematicians, educators, students studying number theory, and anyone interested in advanced mathematical concepts related to triangular numbers and base conversions.

Narf the Mouse
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Not sure where this should go, but - How would you calculate the square root of a triangular number with a base other than 1? For example, 2, 6, 12, 20 (Base 2).

Would rather have help to figure it out than the actual formula.
 
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Never mind - Realized I can just divide the number by the base and use the normal formula.
 

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