NO!!!!
'pi' is an IRRATIONAL number.
Casually, an irrational number is one that recurs to infinity, AND there is NO regular order in the decimal digits.
e.g. pi = 3.141592.....
but pi ~ 3.14, or 3.1416, or 22/7 ( these are only approximations (~)).
However, 3.33333... is RATIONAL because, whilst the decimals go to infinity, they are are in a regular order of '3'.
Infinite surd is a term used in mathematics. The definition of an infinite surd is a never ending irrational number with an exact value that would be left in square root form.
A surd in the form a√b cannot, in general, be simplified.
The term surd traces back to al-Khwārizmī, who referred to rational and irrational numbers as audible and inaudible, respectively. This later led to the Arabic word "أصم‎" (asamm, meaning "deaf" or "dumb") for irrational number being translated into Latin as "surdus" (meaning "deaf" or "mute").
Irrational rootsRoots that are irrational are called surds. Irrational numbers are decimals that neither repeat nor terminate. But not all roots are surds. Sqrt(4) is not a surd, because sqrt(4) is + or - 2, which is rational. On the other hand, sqrt(2) is a surd, and that's because the square root of two is irrational.A surd is a number that cannot be changed into a fraction. They go on infinitely without any pattern.
A surd is a square root which cannot be reduced to a whole number: however you need to be able to simplify them.
'pi' is not a 'surd' because it is not a 'square root' of any number. 'pi' is an IRRATIONAL number. Irrational numbers are those were the decimals go to infinity AND the decinal digits are not in any regular order. pi = 3.141592654.... (recur to infinity and no regular order0. 'pi' in surd form is sqrt(pi) = sqrt(3.141592654....) = 1.772453851..... (which is also irrational). In school/college etc., you are given 'pi = 3.14 , 3.1416 , 22/7' Tese are only APPROXIMATIONS for ease of calculating. 'Super Dupa' computers have calculated 'pi' to at least 50 billion places and still going. NB A decimal number such as 1.33333.... is NOT irrational. It is RATIONAL , because it can be converted to a ration/quotient/fraction. Irrational numbers cannot be converted to an exact value 'ratio/quotient/fraction'. Notice the decimal digits are in a regular order of '3'....
Yes.
Technically it is, as pi can be considered as a rational number, if left as pi, and not 3.145...
Yes. A surd is any irrational number that can be expressed as the root of another number. As pi is a number, although it is a transcendental and hence irrational, the square root of pi is still an irrational number that can be expressed as the square root of another number.
There are transcendental numbers such as pi, e, phi. The fact that they are transcendental means that they are not solutions of non-trivial algebraic polynomials with rational coefficients. There is, therefore, no surd form for such numbers.
Yes it is a surd
If the value of the surd is positive, then it will be another surd. Otherwise it will be a complex number.
I am pretty sure that the cube root of negative seven is a surd. I checked on the calculator.......and it showed a negative number.....??I think when it is not a surd...it's supposed to say error, so the number probably means that it is a surd..
No. It is not a criminal or civil offence!
i did
Infinite surd is a term used in mathematics. The definition of an infinite surd is a never ending irrational number with an exact value that would be left in square root form.
A surd in the form a√b cannot, in general, be simplified.