How do you simplify $10sqrt6 *sqrt2$ ?

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Answer 1 · 2015-05-15T07:19:55

$color(blue)(sqrta * sqrt b = sqrt (ab)$
Hence $sqrt6*sqrt2 = sqrt(6xx2) = color(blue)(sqrt(12)$

$10 sqrt12 = 10sqrt(3xx4)$

( $sqrt4 =2$ )

$10sqrt12= 10xx2sqrt3$

$= 20sqrt3$

How do you simplify 10sqrt6 *sqrt210sqrt6 *sqrt2?