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Because like any other irrational number it can't be expressed as a fraction

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Q: Why is the golden ratio an irrational number?
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Related questions

How many digits does the golden ratio have?

infinitely many - the golden ratio is an irrational number


What irrational number is the golden ratio?

1 + sqrt(5)/2 is.


What type of number is the golden ratio?

I am not certain what you mean by "type." The golden ratio is the number (1+Sqrt(5))/2, and is thus a real, irrational number.


Is Golden ratio a rational or irrational?

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.


Did Maya civilization use golden ratio?

The Maya civilization used the golden ratio. This ratio is an irrational number that is approximately 1.618. It is wherein two quantities is equivalent to the ratio which is the same as the ratio of their sum to the larger of the two quantities.


Does golden ratio involve patterns?

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.


Is negative 4.9 a rational or irrational?

-4.9 is a rational number. If a number is irrational, then it can not be expressed as a finite number of digits. A few examples of irrational numbers are: pi, the square root of any integer which is not square and the golden ratio (phi).


Is the ratio of the circumference and diameter of a circle is an irrational number?

That's the number pi, and yes, it is irrational.


5 examples of irrational numbers?

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.


What are the dimensions of the golden ratio?

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.


I have 62 followers on twitter and you follow 38. Which quantity would you have to change and how do I derive the equation to get the two to equal the golden ratio of 1.6180339?

The golden ratio is not a ratio of two whole numbers but an irrational number. It is 0.5*(1+sqrt(5)). Because it is irrational you cannot find two whole numbers such that their ratio equals the golden ratio. All you can do is get closer and closer to it. 62/38 = 1.6315789 618/382 = 1.6178010 and so on.


Is three over eight irrational?

No. The root word in "ir-RATIO-nal" is ratio. So an irrational number is one that cannot be written as a RATIO of two integers. Your number is a ratio of the two integers 3 and 8. Thus it is RATIO-nal. The examples of irrational number are infinity and certain square roots. Irrational number therefore cannot be expressed as a ratio a/b, where a and b are integers and b is non-zero. Informally, this means that an irrational number cannot be represented as a simple fraction. Irrational numbers are those real numbers that cannot be represented as terminating or repeating decimals. As a consequence of Cantor's proof that the real numbers are uncountable (and the rationals countable) it follows that almost all real numbers are irrational. Perhaps the best-known irrational numbers are: the ratio of a circle's circumference to its diameter π, Euler's number e, the golden ratio φ, and the square root of two √2.