You need to evaluate the absolute value of the given complex number, using the following formula, such that:
`|z| = sqrt(x^2 + y^2)`
Identifying the real part x and the imaginary part y, yields:
`{(x = 1),(y = -2):}`
Reasoning by analogy, yields:
`|z| = sqrt(1^2 + (-2)^2)`
`|z| = sqrt(1 + 4)`
`|z| = sqrt 5`
Hence, evaluating the absolute value of the given complex number, yields `|z| = sqrt 5.`
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