How do you solve #6\sqrt{7}\times 6\sqrt{3}#?

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Answer 1 · 2017-10-21T12:42:59

See a solution process below:

First rewrite the expression as:

#(6 xx 6)(sqrt(7) xx sqrt(3)) =>#

#36(sqrt(7) xx sqrt(3))#

Now use this rule for radicals to multiply the radicals together:

#sqrt(color(red)(a)) * sqrt(color(blue)(b)) = sqrt(color(red)(a) * color(blue)(b))#

#36(sqrt(color(red)(7)) xx sqrt(color(blue)(3))) =>#

#36sqrt(color(red)(7) xx color(blue)(3)) =>#

#36sqrt(21)#