How do you simplify #5sqrt(-75 )+ 3sqrt(-48)#?
1 Answer
Jan 18, 2016
#37 sqrt3 i #
Explanation:
Consider the factors of (- 75 ) and )- 48 )
factors of ( - 75 ) = 25
# xx 3 xx ( - 1 ) # factors of ( - 48 ) = 16
# xx 3 xx( - 1 ) #
#rArr 5sqrt-75 = 5sqrt25 sqrt3sqrt-1 = 5. 5 .sqrt3 . i = 25sqrt3 i # and
#3sqrt-48 = 3sqrt16sqrt3sqrt-1 = 3 . 4 .sqrt3 . i = 12sqrt3 i#
# rArr 5sqrt-75 + 3sqrt-48 = 25sqrt3 i + 12sqrt3 i = 37sqrt3 i #
