Algebra Sq Rt

to multiply the sq rt of 3 cubed by the sq rt of 9 cubed I first need to factor them? So 9 3 times =729? and 3, 3 times is 9. Then multiply the two? to get 6561?

Or

Do I multiply 3 times 9 for 27 and add the 3+3 on the left of the radicand for 6?

Is my answer a whole number or in a radican?

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  1. to multiply the sq rt of 3 cubed by the sq rt of 9 cubed I first need to factor them? So 9 3 times =729? and 3, 3 times is 9. Then multiply the two? to get 6561?

    Reading your words either way:

    (sqrt(3))^3 x (sqrt(9))^3 =
    3sqrt(3) x 27 = 81(sqrt(3))

    ...........OR............

    sqrt(3^3) x sqrt(9^3))
    3sqrt(3) x 27 = 81(sqrt(3))

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  2. Thank you. It is not the answer I have so I will rework it until I understnd.

    Thanks again.

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