How do you express6√7⋅3√5 in simplest radical form?

1 Answer
Psykolord1989 . · Meave60
Sep 3, 2015

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

Explanation:

6√7⋅3√5 (Given)

=(6⋅3)[(√5)(√7)] (Associative Property of Multiplication)

=18⋅√5⋅√7 (Multiply numbers outside radicals)

=18⋅√35 (Multiply numbers inside radicals)=

=18√35

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