Asked by Grace
How do you simplify products of radicals? Please help!
Answers
Answered by
Steve
put the products inside the radical and then extract perfect squares (if you're working with square roots)
sqrt(30)*sqrt(6)*sqrt(10) = sqrt(30*6*10) = sqrt(2*3*5*2*3*2*5) = sqrt(2^2*3^2*5^2*2) = 2*3*5*sqrt(2) = 30sqrt(2)
sqrt(30)*sqrt(6)*sqrt(10) = sqrt(30*6*10) = sqrt(2*3*5*2*3*2*5) = sqrt(2^2*3^2*5^2*2) = 2*3*5*sqrt(2) = 30sqrt(2)
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