How do you simplify #3sqrt32 - 6sqrt8#?

2 Answers
May 15, 2015

#3sqrt32 - 6sqrt8 #

the expression can be written as :
# 3sqrt(4xx8) - 6sqrt8#

(we know that #sqrt(4) = 2#)

#=3 xx 2sqrt(8) - 6sqrt8#

#6sqrt(8) - 6sqrt8 = 0#

May 15, 2015

Simplify #3sqrt32-6sqrt8# .

Simplify #3sqrt32#.

#3sqrt(4*4*2)# =

#3sqrt4sqrt4sqrt2# =

#3*2*2sqrt2# =

#3*4sqrt2# =

#12sqrt2#

Simplify #6sqrt8#.

#6sqrt8# =

#6sqrt2*2*2# =

#6sqrt(4*2)# =

#6*2sqrt2# =

#12sqrt2#

Rewrite equation with simplified terms.

#12sqrt2-12sqrt2=0#