How do you multiply (2sqrt21)(3sqrt6)?

1 Answer
Jun 19, 2015

(2sqrt(21))(3sqrt(6)) = 6sqrt(21*6) = 6sqrt(9*14) = 18sqrt(14)

Explanation:

(2sqrt(21))(3sqrt(6))

= 2*sqrt(21)*3*sqrt(6)

=2*3*sqrt(21)*sqrt(6)

=6*sqrt(21*6)

=6*sqrt(9*14)

=6*sqrt(9)*sqrt(14)

=6*3*sqrt(14)

=18sqrt(14)

If a, b > 0 then sqrt(ab) = sqrt(a)sqrt(b)