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Yes. In general, if an integer is not a perfect square, its square root is irrational.
No.
sqrt 90 = sqrt 9 x sqrt 10 = 3 root 10. Root 10 is irrational so sqrt 90 is irrational.
-90 squared is rational - it is +8100. All perfect squares are not only rational but they are integers.
9.48683298 is the square root of 90