They can be written in a variety of ways.
No. If you write an irrational number as a decimal, it will have an infinite number of decimal digits that don't repeat periodically.
sqrt(2) + sqrt(3) is irrational.
Not completely to its end. If you can completely write a number with digits, then it's a rational number.
Any irrational number can be approximated by decimals. You can never write it exactly, since there are an infinite number of decimals, and these don't repeat.
Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.
NO it is not irrational, that is to say it IS rational. If you can write a number as ratio of integers, it is rational. -11.7 can certainly be written as a ratio of integers.
Rational
No. Quite simply an irrational number cannot be written as a fraction and you could write zero as a fraction ex. 0/1
5.39 is the ratio of 539 to 100 ... completely rational.Any number that you can completely write down with digits is rational.
its with numbers
Yes Yes, the sum of two irrational numbers can be rational. A simple example is adding sqrt{2} and -sqrt{2}, both of which are irrational and sum to give the rational number 0. In fact, any rational number can be written as the sum of two irrational numbers in an infinite number of ways. Another example would be the sum of the following irrational quantities [2 + sqrt(2)] and [2 - sqrt(2)]. Both quantities are positive and irrational and yield a rational sum. (Four in this case.) The statement that there are an infinite number of ways of writing any rational number as the sum of two irrational numbers is true. The reason is as follows: If two numbers sum to a rational number then either both numbers are rational or both numbers are irrational. (The proof of this by contradiction is trivial.) Thus, given a rational number, r, then for ANY irrational number, i, the irrational pair (i, r-i) sum to r. So, the statement can actually be strengthened to say that there are an infinite number of ways of writing a rational number as the sum of two irrational numbers.
No, 3.14 is not an irrational number.