Let `a` be a rational number and `b` be an irrational number,assume that the sum is rational.
1.a +b =c
Where a and c are rational and b is irrational.
2.b=c-a
Subtracting the same number a from each side.
3.b is irrational c-a is a rational number we arrived at a contradiction.
So the sum is an irrational number.
Any irrational number added substracted multiplied or divided into a rational number produces an irrational answer.
No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.
no
it is a rational number but 4.121314..... is an irrational no
It is rational.A number cannot be both rational and irrational.
No, but you can add an irrational number and a rational number to give an irrational.For example, 1 + pi is irrational.
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
Any irrational number added substracted multiplied or divided into a rational number produces an irrational answer.
You can add any irrational number.
Every time. No exceptions.
No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.
Yes. The sum of two irrational numbers can be rational, or irrational.
no
They add up to 17.02 which is rational number
Not necessarily. The sum of two irrational numbers can be rational or irrational.
no
no