What is the greatest possible integer value of x for which square root of x-5 is an imaginary number? a)3 b)4 c)5 d)6

Your answer will be 4, Any x larger than 4 would result in a value of 0 or a positive number. These values have real square roots. 4 is the largest number for x such that x - 5 is a negative number, which yields an imaginary number once the square root is taken.

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