How do you multiply #3sqrt2(sqrt8+5sqrt12)#?

1 Answer
Jun 13, 2015

Answer:

# color(blue)( 12 + 30sqrt6#

Explanation:

#3sqrt2(sqrt8+5sqrt12)#

Multiplying #3sqrt2# with each term within the bracket.

# = color(red)((3sqrt2 . sqrt8)) + color(blue)((3sqrt2 . 5sqrt12)#

# = color(red)(3.sqrt16) +color(blue)(15.sqrt24)#

# = color(red)(3.4) + color(blue)(15.2sqrt6#

# = color(blue)( 12 + 30sqrt6#