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Real but not a root of an algebraic equation with rational roots coefficients

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Q: Pi is transcendental What does this mean?
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If pi is 3.141592653589793238462643383279 etc can you find the square root of pi and get a single without a decimal?

π is a transcendental number, and any square root of a a transcendental is immediately transcendental.


What is the approximate circumference of the circle?

It is pi*d where d is the diameter of the circle. Since pi is a transcendental number, it is not possible to express its value exactly and so any value used for pi (3.14, 3.14159 or pi to 10 trillion digits) will still lead to an approximate answer.


What is the diameter of a circle that is equal to pi?

If you mean the diameter of a circle with area pi, then the diameter is 2. If you mean the diameter of a circle with circumference pi, then the diameter is 2. If you mean the diameter of a circle with diameter pi, then the diameter is pi. If you mean the diameter of a circle with radius pi, then the diameter is 2pi.


Radius of 5m what is the circumference?

If you mean a circle: the circumference is equal to diameter x pi, or 2 x pi x radius.If you mean a circle: the circumference is equal to diameter x pi, or 2 x pi x radius.If you mean a circle: the circumference is equal to diameter x pi, or 2 x pi x radius.If you mean a circle: the circumference is equal to diameter x pi, or 2 x pi x radius.


What does pi radius 2 mean?

That would depend if you mean 2 times the radius times pi (2*pi*r) or the more likely scenario pi times radius squared (pi*r2). 2*pi*r is the formula of the circumference of a 2d circle. Pi*r2 is the formula of the area of a 2d circle.

Related questions

Is the pi root of any number transcendental?

Since pi is transcendental, pi2 is also transcendental. So pi is the square root of the transcendental number pi2.


Who proved pi is a transcendental number?

Hermite proved that "e" is transcendental, but it was Ferdinand Lindemann who proved that "pi" is transcendental.


Pi is transcendental What does this mean in mathematics?

An algebraic number is one which is a root of a non-constant polynomial equation with rational coefficients. A transcendental number is not an algebraic number. Although a transcendental number may be complex, Pi is not.


What do you mean to the symbol Pi of Ferdinand von Lindemann?

Ferdinand von Lindemann proofed that the number Pi is transcendental.


Who proved pi to be transcendental?

Carl Louis Ferdinand von Lindemann proved in 1882 that pi is transcendental.


If pi is 3.141592653589793238462643383279 etc can you find the square root of pi and get a single without a decimal?

π is a transcendental number, and any square root of a a transcendental is immediately transcendental.


What type of irrational number is pi?

pi is a Transcendental Number.


Pi the math term is transcendental what does that mean?

A transcendental number is one which is not algebraic. An algebraic number is one which is a root of a non-zero polynomial with rational coefficients.


Is pi an algebraic number?

no it is not. See Lindemann, 1882, that pi is transcendental.


What is number category for -pi?

transcendental irrational.


Is Pi an imaginary number?

Pi (approximately 3.14) is not an imaginary, but it is irrational and transcendental.


What mathematician is credited for proving that pi is transcendental?

lindemmann