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To calculate the value of the expression, we need to follow the order of operations (BODMAS or PEMDAS).
First, let's simplify the expression in the parentheses:
110 - 137 = -27
Now, let's calculate the expression inside the square brackets:
4 * (-5)^2 = 4 * 25 = 100
Now, let's substitute the simplified values back into the main expression:
3 / √(-27) + 100
Since the square root of a negative number is not a real number, this expression is undefined.