Question

Simplify the following expression, express in terms of i

sqrt(-48)

Answer 1

\[\sqrt{-48}\]

Answer 2

\[\sqrt{-48}=\sqrt{16\times 3\times (-1)}=\sqrt{16}\times \sqrt{3}\times \sqrt{-1}=4\sqrt{3}i\]

Answer 3

the \(i\) is outside the radical

Answer 4

thank you! I have been trying to figure out what number times itself is -48.......

Answer 5

well you do not know an integer whose square is 48, so you just write in simplest radical form

Answer 6

yw

Answer 7

algebra is so not my forte lol