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For what values of the variable does each of the following expressions make sense? \sqrt(-3(1-5x))

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Final answer:

The expression √(-3(1-5x)) does not make sense for any value of the variable x in the set of real numbers.

Step-by-step explanation:

The expression √(-3(1-5x)) involves taking the square root of a negative number, which is not defined in the set of real numbers. In mathematics, the square root of a negative number is represented as an imaginary number. Therefore, this expression does not make sense for any value of the variable x in the set of real numbers.

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