Question

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

Answer 1

Answer:

  5

Step-by-step 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

Answer 2

Answer:

5

Step-by-step explanation:

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

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

$|a+ib|= \sqrt{a^2+b^2}$

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

$|a+ib|= \sqrt{a^2+b^2}$

$|4-3i|= \sqrt{(4)^2+(-3)^2}$

$|4-3i|= \sqrt{16+9}$

$|4-3i|=5$