Question 183016
{{{(sqrt(6)/sqrt(7))(sqrt(14)/sqrt(3))}}} Start with the given expression.



{{{(sqrt(6)*sqrt(14))/(sqrt(7)*sqrt(3))}}} Combine the fractions.



{{{(sqrt(6*14))/(sqrt(7*3))}}} Combine the roots.



{{{(sqrt(84))/(sqrt(21))}}} Multiply



{{{(sqrt(4*21))/(sqrt(21))}}} Factor 84 into {{{4*21}}}



{{{(sqrt(4)*sqrt(21))/(sqrt(21))}}} Break up the root.



{{{(2*sqrt(21))/(sqrt(21))}}} Take the square root of 4 to get 2



{{{(2*highlight(sqrt(21)))/(highlight(sqrt(21)))}}} Highlight the common terms.



{{{(2*cross(sqrt(21)))/(cross(sqrt(21)))}}} Cancel out the common terms.



{{{2}}} Simplify



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Answer:



So {{{(sqrt(6)/sqrt(7))(sqrt(14)/sqrt(3))=2}}}