The greatest possible integer value of x for which [tex]\sqrt{x - 5}[/tex] is an imaginary number is 4
The root expression is given as:
[tex]\sqrt{x - 5}[/tex]
For the above number to be a complex number, the greatest value of the radicand must be -1.
So, we have:
x - 5 = -1
Add 5 to both sides
x = 4
Hence, the greatest possible integer value of x for which [tex]\sqrt{x - 5}[/tex] is an imaginary number is 4
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