Question

How do you simplify `sqrt(2/7)*sqrt(7/3)`?

Answer 1

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))`

`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)`