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How do you simplify $3 \sqrt{14} \cdot 7 \sqrt{6}$ $3sqrt14 * 7sqrt6$ ?

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Jun 4, 2015

$3 \sqrt{14} \cdot 7 \sqrt{6}$ $3sqrt(14)*7sqrt(6)$

$XXXX$ $color(white)("XXXX")$ $= (3 \cdot 7) (\sqrt{14} \cdot \sqrt{6})$ $= (3*7)(sqrt(14)*sqrt(6))$

$XXXX$ $color(white)("XXXX")$ $= 21 \sqrt{84}$ $= 21sqrt(84)$

$XXXX$ $color(white)("XXXX")$ $= 21 \sqrt{2^{2} \cdot 21}$ $= 21 sqrt(2^2*21)$

$XXXX$ $color(white)("XXXX")$ $= 42 \sqrt{21}$ $= 42sqrt(21)$

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