The difference of a rational number and an irrational number is ____ an irrational number. Which word correctly fills in the blank to create a true statement?

A) sometimes
B) always
C) never

Respuesta :

Answer:

a

Step-by-step explanation:

The difference between a rational number and an irrational number is always an irrational number. The correct option is B.

What is a rational and irrational number?

A Rational Number is a number of the form p/q, p & q are integers, and q ≠ 0.  An irrational number is all real numbers except rational numbers i.e. it is a non-repeating and non-terminating decimal number or it can not be expressed in a ratio of two integers.

Further, natural numbers can be rational numbers. Also, all repeating and terminating decimals are rational.

The difference between a rational number and an irrational number is always an irrational number. For example:

2 - √3 is always an irrational number where 2 is rational and √3 is an irrational number.

Hence addition and subtraction of rational and irrational numbers is always an irrational number.

To know more about an irrational number follow

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