lornbeach
Simplify the given expression:



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lornbeach
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maym0Re97
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i7/1+9i

lornbeach
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thats not an answer choice

maym0Re97
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What are the choices?

lornbeach
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7+7i/2
63+7i/82
7+7i/2
63+7i/82

Hero
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\[
\sqrt{49} = \sqrt{49 \dot\ 1} = \sqrt{49} \sqrt{1} = 7i
\\(3 + 4i)  (2  5i) = (3  2) + (4i + 5i) = 1 + 9i
\]

Hero
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I have to agree with @maym0Re97

maym0Re97
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Lol that's what I got, but it's not an answer choice

lornbeach
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i got that answer as well, but it isnt a choice

Hero
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There's probably an equivalent choice

Hero
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Multiply top and bottom by 1  9i and see what happens

lornbeach
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would it be 63+7i/82?

anonymous
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your job is to rewrite in standard form as \(a+bi\) which means do what @hero said

anonymous
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\[\frac{7i}{1+9i}\times \frac{19i}{19i}\] the denominator is \(1^2+9^2=82\) all the work is in the numerator

anonymous
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yes you have it

lornbeach
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thank you(: