Simplify the following expression. square root-8 square root -24

Answer 1

sqrt -8 = i sqrt 8 = 2 sqrt 2 i
sqrt -24 = i sqrt 24 = i sqrt(8*3) = 2i sqrt2 sqrt3
so

2 i sqrt2 * 2 i sqrt2 sqrt3
=
-4*2 sqrt 3
=
-8 sqrt 3