Question

Can someone please help me with this.

Answer 1

10

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)

`=√(64+36)` (since
`8^(2)=64` and
`–6^(2)=36`)

`=√(100)` (Square root of 100 is 10)

= 10

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