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

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))#

#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)#

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
1050 views around the world
You can reuse this answer
Creative Commons License