SciPy - Constants and Special Functions
Why is the golden ratio constant in
scipy.constants considered an irrational number?Why is the golden ratio constant in scipy.constants considered an irrational number?
hard📝 Conceptual Q10 of 15
Step-by-Step Solution
Solution:
Step 1: Understand irrational numbers
An irrational number cannot be expressed as a fraction and has infinite non-repeating decimals.Step 2: Apply to golden ratio
The golden ratio is known to be irrational, approximately 1.618..., with infinite non-repeating decimals.Step 3: Eliminate wrong options
It is not equal to 3.14 (pi), not rational, and not defined as sum of pi and e.Final Answer:
Because it cannot be expressed as a simple fraction and has an infinite non-repeating decimal expansion -> Option DQuick Check:
Golden ratio is irrational by definition [OK]
Quick Trick: Irrational means no exact fraction, infinite decimals [OK]
Common Mistakes:
MISTAKES- Confusing with pi
- Thinking it is rational
- Believing it is sum of pi and e
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