Find the absolute value of the complex number $$8 + 2 i$$ .
A) $\sqrt { 10 }$
B) $3 \sqrt { 10 }$
C)68
D) $4 \sqrt { 10 }$
E) $2 \sqrt { 17 }$

Name: Find the absolute value of the complex number \[8 + 2 i\] . A) $\sqrt { 10 }$ B) $3 \sqrt { 10 }$ C)68 D) $4 \sqrt { 10 }$ E) $2 \sqrt { 17 }$
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Question

Find the absolute value of the complex number $$8 + 2 i$$ . ​
A)​ $\sqrt { 10 }$
B)​ $3 \sqrt { 10 }$
C)​68
D)​ $4 \sqrt { 10 }$
E)​ $2 \sqrt { 17 }$

Quizplus · Accepted Answer

The absolute value of a complex number $a + bi$ is given by $\sqrt{a^2 + b^2}$. For $8 + 2i$, it is $\sqrt{8^2 + 2^2} = \sqrt{64 + 4} = \sqrt{68} = 2\sqrt{17}$.

Find the Absolute Value of the Complex Number 8+2i8 + 2 i8+2i

Find the Absolute Value of the Complex Number $8 + 2 i$