How do you simplify: 10x the square root of 8 over the square root of 16?

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Answer 1 · 2015-07-24T14:25:55

#=color(green)(5sqrt2#

Prime factorising #8#:

#sqrt8=sqrt(2*2*2)#
#=2sqrt2#

#= 10 xx sqrt8 = 10 xx 2sqrt2 = color(green)(20sqrt2#

#=(10sqrt8)/sqrt16#

#=color(green)((20sqrt2))/sqrt16#

we know #sqrt 16=color(green)(4#

#=(20sqrt2)/4#

#=color(green)(5sqrt2#