Find the exact value of open vertical bar, 5, plus, 8, i, close vertical bar∣5+8i∣.
Question
Find the exact value of open vertical bar, 5, plus, 8, i, close vertical bar∣5+8i∣.
Solution
The given expression is the absolute value (or modulus) of a complex number. The absolute value of a complex number a + bi is given by √(a² + b²).
Here, a = 5 and b = 8.
So, |5 + 8i| = √(5² + 8²) = √(25 + 64) = √89.
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