For mathematicians n usually represents an integer; integers are rational.
However for people who are not mathematicians n can be anything. The only safe answer to this question is 'don't know'.
No integer is an irrational number. An irrational number is a number that cannot be represented as an integer or a fraction.All integers which are whole numbers are rational numbers.
No.
The expression ( n^3 ) is rational if ( n ) is a rational number. This is because the cube of a rational number (which can be expressed as a fraction of integers) remains a rational number. However, if ( n ) is an irrational number, then ( n^3 ) will also be irrational. Thus, whether ( n^3 ) is rational or irrational depends on the nature of ( n ).
Every irrational number, when multiplied by 0.4 will produce an irrational number.
No it cannot. Any whole number, n, can be written as the ratio n/1 where n is an integer. Since it can be expressed as a ratio of two integers, it is rational and so cannot be irrational.
No, an integer n can be expressed as a ratio: n/1. It is, therefore, rational.
No - numbers are neither irrational nor rational.Ans 2Well, it is true that 21 is not irrational.As to being rational, every integer is rational.Proof : Take an integer n, add it to itself.Now look at (n+n)/2. It is obviously rational, but equally obviously it reduces to n.
no. irrational numbers are always infininately long, otherwise the could be represented as a fraction by multiplying by 10^n and dividing by 10^n where n is a number large enough to make the number a number with no decimals.
Let Q be all the rational numbers, where Q={m/n:m is an integer and n is a natural}Every number does not belong to Q is irrational.
-3.14=(-314/100), so -3.14 is a rational number (since it can be expressed as p/q, with p and q being integers). If you mean -pi (which is approximately -3.14), then it is irrational. pi is irrational (for a proof, which is fairly complicated, see: http://www.lrz-muenchen.de/~hr/numb/pi-irr.html). And an irrational number times a rational number (which -1 is since it can be expressed as -1/1) is irrational. This can be proved by assuming the product is rational. Let x be a rational number, which can be expressed as m/n with m and n integers), and let y be the irrational number. Let S=xy. Assume S is rational, and can be expressed as t/u, with t and u being integers. Then: S=xy t/u=(m/n)y [Divide both sides by m/n, which is the same as multiplying by its reciprocal, n/m) (t*n)/(u*m)=y Since t, n, u, and m are integers, tn and um are integers. (t*n)/(u*m)=y implies y is rational, which is a contradiction. Therefore, xy=S is irrational.
If the square root of a natural number is not an integer, then it is irrational. Another way to look at it: if a natural number N falls between two perfect squares, then the square root of N is irrational.So in this case, 12 is between 9 (3 squared) and 16 (4 squared). So the square root of 12 is between 3 and 4, and also the square root of 12 is irrational.
Irrational. Irrational. Irrational. Irrational.