Irrational Numbers are infinitely dense so that there are infinitely many irrational numbers between any to numbers. In fact, there are more irrational numbers between any two numbers than there are rational numbers in total!
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Any irrational number, when added to 13, will produce an irrational number.
Any irrational number will do.
13 is rational
The number closest to 3 that is irrational is the square root of 8, which is approximately 2.83. The square root of 8 is irrational because it cannot be expressed as a simple fraction or terminate as a decimal. It is also the closest irrational number to 3 on the number line.
18 and 20