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The square root of 75 is an irrational number
The square root of 75 is an irrational number and it is 5 times the square root of 3
No. The square root of most numbers is irrational - only if the number of which you take the root happen to be perfect squares, do you get a rational root. In this case, to take the square root of 3/4, 3 is not a perfect square, so the root is not rational. Or you can take .75 to be 75/100; once again, 75 is not a perfect square, so the root is irrational.
The square roots of -75 are [ +5i sqrt(3) ] and [ -5i sqrt(3) ]. Both of them are irrational and imaginary.
Only whole numbers are even or odd, and the square root of 75 is not a whole number.