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What is the square root of 21 multiplied by the square root of 14?

1 Answer

Oct 19, 2015

$sqrt(21)*sqrt(14) = 7sqrt(6)$

Explanation:

$color(red)(sqrt(21))*color(blue)(sqrt(14))$

$color(white)("XXX")=color(red)(sqrt(7)*sqrt(3))*color(blue)(sqrt(7)*sqrt(2))$

$color(white)("XXX")=color(red)(sqrt(7))*color(blue)(sqrt(7))*color(red)(sqrt(3))*color(blue)(sqrt(2))$

$color(white)("XXX")=7sqrt(6)$

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