A rational number is one that can be expressed as a ratio of two whole numbers (like a fraction). An irrational number is a real number that is not rational.
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Yes. The definition of a surd is "an irrational number"
No. Irrational numbers by definition fall into the category of Real Numbers.
It is a non-terminating, non-repeating decimal representation. That is a definition of irrational numbers.
No, an irrational number by definition is a number that cannot be written as a fraction
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.