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

1 Answer
Jul 24, 2015

Answer:

#=color(green)(5sqrt2#

Explanation:

Prime factorising #8#:

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

  • Now 10 times #sqrt8# :

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

  • Now 10 times #sqrt8# over #sqrt16# :

#=(10sqrt8)/sqrt16#

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

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

#=(20sqrt2)/4#

#=color(green)(5sqrt2#