An irrational number is a number which cannot be expressed as a fraction made of integers. These numbers generally have infinite decimals with no pattern to them whatsoever.
The easiest way, I think, to make an irrational number is to take the square root of a number between the squares of your parameters, in this case between 2500 and 4900. Thus a number such as square root(2738), which is 52.325901..., or square root(4677), which is 68.388595..., will do nicely. In this case make sure you check your answer because some numbers such as 3600 will lead to whole number (and non-irrational) answers.
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The square root of 70 is between 8 and 9, and is irrational. This is because 70 is between the squares of 8 and 9 (64 and 81, respectively), and because the square root of 70 continues without end and without a reliable pattern. Note that this is only one out of infinite number of irrational numbers between 8 and 9.
51
Yes, there are many rational numbers between 50 and 70. All whole numbers and fractions are rational.
The square root of 70 is an irrational number
70% of 50 is 35.