Question

Check my answer? Indicated operations help please?

Given the expression (6 + (sqrt)-100) - (3 + (sqrt)-49), perform the indicated operation and write the answer in the form of a + bi

(A) 3 + 17i
(B) -3 + 17i
(C) 3 + 3i
(D) -3 + 3i

I'm leaning towards A or C but I'm not sure

Answer 1

\((6+10i)-(3+7i)=3+3i\)

Answer 2

Recall a negative square root is not a real number:

\[\sqrt{-1} = i\]

Answer 3

\[\sqrt{-100} = \sqrt{-1 * 100} = \sqrt{-1}\sqrt{100} = 10*i\]

Answer 4

similarly for the other root

\[\sqrt{-49} = \sqrt{-1 * 49} = \sqrt{-1}\sqrt{49} = 7*i\]

Answer 5

Hi Dan

Answer 6

hello, hows it goin

Answer 7

I've come to find complex numbers more and more silly.
Anyway, @JoeJoldin needs to respond

Answer 8

(6 + 10i) - (3 + 7i)

6 - 3 + 10i - 7i

3 +(10-7)i

3 + 3i

Answer 9

you understand all that ?

Answer 10

@JoeJoldin

Answer 11

yes thank you

Answer 12

cool your welcome