How do you simplify sqrt(2/7)*sqrt(7/3)√27⋅√73?

1 Answer
smendyka
Jul 31, 2017

See a solution process below:

Explanation:

Use this rule for multiplying radicals to simplify the expression:

sqrt(color(red)(a)) * sqrt(color(blue)(b)) = sqrt(color(red)(a) * color(blue)(b))√a⋅√b=√a⋅b

sqrt(color(red)(2/7)) * sqrt(color(blue)(7/3)) => sqrt(color(red)(2/7) * color(blue)(7/3)) => sqrt(color(red)(2/color(black)(cancel(color(red)(7)))) * color(blue)(color(black)(cancel(color(blue)(7)))/3)) => sqrt(2/3)

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