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 :

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

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

$= ( 6sqrt2) / 4$

$= ( cancel6sqrt2) / cancel4$

$= (3sqrt2)/2$

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