What is the absolute value of the complex number negative 4 minus square root of 2 i ?

For a complex number a + bi, its absolute value is √(a² + b²). Here the real part is −4 and the imaginary part is −√2, so the absolute value is √((−4)² + (−√2)²) = √(16 + 2) = √18 = 3√2. The correct choice is 3 square root of 2.

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