How do you express#6sqrt7 * 3sqrt5# in simplest radical form?

1 Answer

Answer:

Multiply the numbers outside the radicals together, then multiply those inside the radicals. In this case one will conclude with #18 sqrt 35#

Explanation:

#6 sqrt7 * 3sqrt5# (Given)

#= (6*3) [(sqrt5)(sqrt7)]# (Associative Property of Multiplication)

# = 18 * sqrt5*sqrt 7# (Multiply numbers outside radicals)

# = 18 * sqrt 35# (Multiply numbers inside radicals)#=#

#=18sqrt35#