What is the simplified square root of 72?

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Answer 1 · 2015-04-22T23:17:37

Note that #72 = 4xx18 = 4xx9xx2#

#sqrt72 = 4xx18 = 4xx9xx2= 2^2xx3^2xx2#

#=sqrt(2^2 . 3^2 . 2#

# = (2)(3)sqrt2#

#= 6sqrt2#

Much simpler approach.

#sqrt72 = sqrt(36xx2)#

#=sqrt(6^2xx2)#

#= 6sqrt2#