Sum of a rational and an irrational number is a/an A)rational number B)irrational number C)real number D)We can't add a rational and an irrational number

Kirsten Bishop

Kirsten Bishop

Answered question

2022-12-02

Sum of a rational and an irrational number is a/an
A)rational number
B)irrational number
C)real number
D)We can't add a rational and an irrational number

Answer & Explanation

desecat9qs

desecat9qs

Beginner2022-12-03Added 10 answers

The correct options are
B irrational number

C real number

Sum of a rational and an irrational number is always an irrational number.
For example:
Consider a raitonal number: 4
and an irrational number: 2.7582463023874529.... [The numbers after decimal are non-terminating and non-recurring]
These two numbers are added together to yield,
4+2.7582463023874529....=6.7582463023874529...., which is also an irrational number as the numbers after decimal are non-terminating and non-recurring.
The final sum is also a real number because both rational and irrational numbers are real numbers.

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