How do you simplify #3 timessqrt 24#?
1 Answer
Feb 3, 2016
Explanation:
to simplify
#sqrt24 # use the law of indices :
# sqrta xxsqrtb = sqrtab hArr sqrtab = sqrta xx sqrtb# look for factors of 24 , and in particular ' squares ' → 4 , 6
hence
#sqrt24 = sqrt4 xxsqrt6 = 2sqrt6 #
# rArr 3 xxsqrt24 = 3 xx2sqrt6 = 6sqrt6 #
