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Finding the Absolute Value of a Complex Number: Find the absolute value of z=-2+5i

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Final answer:

The absolute value or magnitude of the complex number z = -2 + 5i is sqrt(29).

Step-by-step explanation:

To find the absolute value of a complex number, you need to find the magnitude or the distance from the origin to the point representing the complex number on the complex plane. In this case, the complex number is z = -2 + 5i. The formula to find the absolute value or magnitude of a complex number z = a + bi is |z| = sqrt(a^2 + b^2). So, for z = -2 + 5i, the absolute value or magnitude is |z| = sqrt((-2)^2 + 5^2) = sqrt(4 + 25) = sqrt(29).

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