Simplify completely show all work √45 times √96 only the work and no explanation

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You should look for ways to simplify here before attempting to multiply.

sqrt(45) times sqrt(96) can be rewritten in terms of perfect squares and other factors:

45 = 5 * 9 (9 is a perfect square)

96 = 16 * 6 (16 is a perfect square)

Then sqrt45) times sqrt(96) = sqrt(9)*sqrt(5)*sqrt(6)*sqrt(16)
                                             =      3    * sqrt(5) * sqrt(6) * 4
                                               =      12sqrt(30)        (answer)

30 can be factored, but none of the factors of 30 are perfect squares.