How do you simplify the expression $(10sqrt2)/sqrt8$ ?

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Answer 1 · 2016-04-28T16:36:24

$= 5$

$(10 sqrt2) / sqrt8$

$color(blue)(sqrt8 = sqrt (2*2*2) = 2 sqrt2$

$(10 sqrt2) / color(blue)(2sqrt2)$

$=(10 cancelsqrt2) / color(blue)(2cancelsqrt2)$

$=(10 /2 )$

$= 5$

How do you simplify the expression (10sqrt2)/sqrt8 (10sqrt2)/sqrt8?