Search for the proof for the irrationality of the square root of 2. The same reasoning applies to any positive integer that is not a perfect square. In summary, the square root of any positive integer is either a whole number, or - as in this case - it is irrational.
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The square root of 47 is an irrational number.
The square root of 71 is an irrational number
the square root of 26 is a irrational number
It is a irrational number. Because the square root of every imperfect square is irrational number.
The square root of 155 is an irrational number.