An irrational number is a real number that cannot be expressed as a ratio of two integers.
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No. The sum of an irrational number and any other [real] number is irrational.
Close. But to make that statement correct, three letters must be deleted:Every natural number is a[n ir]rational number.
A negative irrational number can be thought of as an irrational number multiplied by -1, or an irrational number with a minus sign in front of it.
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
Any irrational number will, eg √2, π, e.