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There is no square root of -289 because it is an imaginary number but the square root of 289 is 17
Not sure I understand the question. 17 is rational but the square root of 17 is irrational.
the square root of 17 is not a perfect square, so it can't be reduced to a rational number. √17 ≈ 4.1231 but the decimal place keeps going on forever
It is an irrational number and it is about 4.123105626
As a real number.