Question

Solve:

^-63-^15/-12

Answer 1

\[\frac{ \sqrt{-63}-{\sqrt{5}} }{ -12 }\]

Answer 2

@jim_thompson5910 I dont understnd where to start

Answer 3

\[\Large \sqrt{-63} = \sqrt{-63}\]

\[\Large \sqrt{-63} = \sqrt{-1*9*7}\]

\[\Large \sqrt{-63} = \sqrt{-1}*\sqrt{9}*\sqrt{7}\]

\[\Large \sqrt{-63} = i*3*\sqrt{7}\]

\[\Large \sqrt{-63} = 3i*\sqrt{7}\]

Answer 4

So

\[\Large \frac{ \sqrt{-63}-{\sqrt{5}} }{ -12 }\]

becomes

\[\Large \frac{ 3i*\sqrt{7}-{\sqrt{5}} }{ -12 }\]

Answer 5

@jim_thompson5910 the answer in book says the following

Answer 6

You then break up the fraction and reduce

\[\Large \frac{ 3i*\sqrt{7}-{\sqrt{5}} }{ -12 }\]

\[\Large \frac{ 3i*\sqrt{7}}{-12}-\frac{\sqrt{5} }{ -12 }\]

\[\Large -\frac{ i*\sqrt{7}}{4}+\frac{\sqrt{5} }{12 }\]

\[\Large \frac{\sqrt{5} }{12 }-\frac{ \sqrt{7}}{4}i\]

Answer 7

@jim_thompson5910 thanks but is the reason it switched from a positive to a negative is because the i went to the back the equation