Question

Simplify 4 over quantity 2 plus 7 i.

Answer 1

multiply top and bottom by bottom's conjugate

Answer 2

8 + 28i

Answer 3

? @freckles

Answer 4

Let me get you started:
$$
{4\over2}+7={4\over 2}+{2\times 7\over 2}={4+2\times 7\over 2}
$$
Can you finish?

Answer 5

Is that an "i" in the end?

Answer 6

In that case, we have:
$$
{4\over2}+7i=2+7i
$$

Answer 7

\[\frac{ 4 }{ 2 + 7i }\]

Answer 8

$$
{4\over2+7i}={4\over2+7i}\times {2-7i\over2-7i}={8-28i\over4+49}
$$

Answer 9

Note that we multiply by the complex conjugate of \(2-7i\) of the denominator because we want to make the denominator "real."

Answer 10

ty

Answer 11

You're welcome