Question

can someone please help me with this.

Answer 1

Answer:

10

Step-by-step explanation:

Given expression is $|8-6 i|$.

$|8-6 i|$ is a complex expression.

The value of i is –1.

By definition of absolute value, $|a+b i|=\sqrt{a^{2}+b^{2}}$

Now, substitute $|8-6 i|$ in the above formula.  

$\Rightarrow|8-6 i|=\sqrt{8^{2}+(-6)^{2}}$  (since i = –1)

                  $=\sqrt{64+36}$  (since $8^{2}=64$ and                    $–6^{2}=36$)

                  $=\sqrt{100}$  (Square root of 100 is 10)

                  = 10

Hence, the value of the expression  $|8-6 i|$ is 10.