Final answer:
The absolute value of the complex number |2+8i| is calculated as the square root of the sum of the squares of its real and imaginary parts, yielding 2√17.
Step-by-step explanation:
To compute the absolute value of a complex number such as |2+8i|, we use the formula |a+bi| = √(a²+b²). Substituting a=2 and b=8 into the formula, we obtain:
|2+8i| = √(2²+8²)
|2+8i| = √(4+64)
|2+8i| = √68
|2+8i| = √(4*17)
|2+8i| = 2√17
Therefore, the correct answer is a) 2√17.