Question

Select the expression that is equivalent to |4-3i|

1

square root 7

5i

5

Answer 1

5

Explanation:

Select the expression that is equivalent to |4-3i|

To find the length of 4-3i we use distance formula

`|a+ib|= √(a^2+b^2)`

In the given expression |4-3i|

the value of a= 4 and the value of b is -3

Plug in the values in the formula and find the equivalent

`|a+ib|= √(a^2+b^2)`

`|4-3i|= √((4)^2+(-3)^2)`

`|4-3i|= √(16+9)`

`|4-3i|=5`

Answer 2

5

Explanation:

The magnitude is computed as the root of the sum of the squares of the real and imaginary parts. Your familiarity with the 3-4-5 Pythagorean triple should tell you immediately the magnitude is 5. In any event, it is a real number greater than 4 and less than 7. Only one answer qualifies.

|4 -3i| = 5