The square root of 13 is irrational.
All square roots of whole numbers are irrational unless the number is a perfect square.
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If the square root of a number is irrational, it is its own conjugate. sqrt(13)*sqrt(13) = 13 and you no longer have an irrational!
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The square root of 169 = ± 13
No, √13 is an irrational number. Only perfect squares have whole numbers square roots, they are 1², 2³, 3², 4², ... which are 1, 4, 9, 16, ...
13, is not the square root of 156, but the best i can give you is that 13 is the square root of 169 and 14 is the square root of 196.