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phi = [1+sqrt(5)]/2

sqrt(5) is irrational and so phi is irrational.

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11y ago

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Related Questions

Is Phi a whole number?

It depends on what phi is being used for. Generally, phi is used to represent the Golden Ratio, [1+ sqrt(5)]/2. In that case phi is an irrational number approximately equal to 1.6180


Can the product of any two irrational numbers be a rational number?

Yes. For example, if you multiply the square root of 2 (an irrational number) by itself, the answer is 2 (a rational number). The golden ratio (Phi, approx. 1.618) multiplied by (1/Phi) (both irrational numbers) equals 1 (rational). However, this is not necessarily true for all irrational numbers.


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).


What is the geometrical representation of irrational number?

They are all points on the [Real] number line.However, different irrational numbers: pi, sqrt(2), e, phi etc have different geometric applications.


What can be a non rational number?

It can be a real number which is not a rational number. That is, an irrational number such as sqrt(2), or cuberoot(5), or pi, or e, or phi. Or it can be a number that is not even a real number, such as a complex number or a quaternion.


Is 0.0125 a rational or irrational number?

Rational. An irrational number is something that cannot be written as a fraction of integers and since they can't be written this way they will not end. Irrational numbers are numbers like pi, phi, e (Euler's number) and a lot of square roots.


Why the value of phi is 3.14?

The value of phi is NOT 3.14. The value of phi, the Golden ratio, is [sqrt(5)+1]/2 which is approximately 1.62. It is an irrational number and so it has an infinitely long, non-recurring decimal representation.


Is phi a real number?

Yes. It is equal to (1 + sqrt5) / 2 = ~1.618 which, though irrational, is a purely real number; i.e. it has no imaginary component.


What numbers go on and on past the point where they can be calculated are called what?

Numbers like these ( pi, phi, imaginary number i ), are called IRRATIONAL NUMBERS.


What are the first 10 digits of phi?

The first 10 digits of phi (the golden ratio) are 1.6180339887. Phi is an irrational number, meaning its decimal representation goes on forever without repeating. It is often denoted by the Greek letter φ and can be expressed as (1 + √5) / 2.


Is 1.61803398... a rational number?

No, 1.61803398... is not a rational number; it is an irrational number. This value is known as the golden ratio, often denoted by the Greek letter phi (φ). An irrational number cannot be expressed as a fraction of two integers, and the decimal representation of φ goes on forever without repeating.


What are the 5 digits of the number phi?

Pi is infinite & digits never end. 3.14159 are amongst the first. * * * * * The answer given above is for pi. The question was about phi - which is usually used to indicate the Golden Ratio! Like pi, phi is irrational - but unlike pi, is not transcendental. Phi = [1 + sqrt(5)]/2 = 1.61803 approx.