Because like any other irrational number it can't be expressed as a fraction
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It is irrational. Any number that cannot be written as a fraction is irrational. So if the Golden Ratio were rational, instead of a never-ending decimal number, you'd see a fraction. The official measurement is (1+sqrt5)/2. sqrt5 is irrational.
No. The Golden ratio is an irrational number: [1 + sqrt(5)]/2 = 1.6180, approx. It is found in many patterns - in nature as well as man-made.
Five examples of irrational numbers are Pi, the Golden Ratio, Euler's number, the square root of 7.298363, and the cubed root of 26.483738.
The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.
Any real number which cannot be expressed as a ratio of two integers is an irrational number.