Decimals that terminate or repeat in some fashion are rational, while decimals that expand forever are irrational.
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The decimal expansion of an irrational number does not terminate nor does it repeat. The expansion for a rational number either terminates or repeats.
A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction
The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.
No. sqrt(3) - sqrt(2) is irrational.
A rational number can be expressed as a ratio of two integers, p/q where q > 0. An irrational number cannot be expressed in such a way.
Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).