How do you evaluate #\sqrt { 32} - \sqrt { 20} - \sqrt { 5} + \sqrt { 72}#?

1 Answer
jonathan n.
May 8, 2017

look below

Explanation:

all of the radicals need to be like radicals

so factor out the first radical #sqrt(32)#
so #2sqrt(8)#

next is #sqrt(20)#
#2sqrt(5)#

#sqrt(5)# is already factored

last is #sqrt(72)#
#3sqrt(8)#

#2sqrt(8)#-#2sqrt(5)#-#sqrt(5)#+#3sqrt(8)#
you should get #5sqrt(8)#-#3sqrt(5)#

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