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 $sqrt 16=color(green)(4$

$=(20sqrt2)/4$

$=color(green)(5sqrt2$