What is the square root of 384 simplified?

First factor '384'

2)384 =

2)192 =

2)96 =

2)48 =

2. 24 =

2)12 =

2)6 =

3)3 =

1 Fully factored

Hence 384 = 2x2x2x2x2x2x2x3

sqrt(384) = sqrt(2x2x2x2x2x2x2x3)

sqrt(382) = sqrt(2x 2) X sqrt(2x2) X sqrt(2 x 2) X sqrt(2 x 3)

sqrt(384) = 2 x 2 x 2 x sqrt(6) =>

sqrt(384) = 8Xsqrt(6) Done!!!!!