How do you simplify #1/4 * sqrt(72)#?

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Answer 1 · 2016-04-28T16:39:17

#= (3sqrt2)/2#

#1/4 * sqrt72#

#sqrt72# can be simplified as :

#sqrt 72 = sqrt ( 3 * 3 * 2 * 2 * 2) = sqrt ( 3^2 * 2^2 *2) = color(green)(6 sqrt2#

#1/4 * sqrt72 = 1/4 * color(green)(6sqrt2#

#= ( 6sqrt2) / 4#

#= ( cancel6sqrt2) / cancel4#

#= (3sqrt2)/2#