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9 March, 01:38

Is the simplified form of 2 square root of 3⋅square root of 12 rational?

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  1. 9 March, 01:40
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    yes

    Step-by-step explanation:

    2 sqrt (3) * sqrt (12)

    Rewriting sqrt (12) as sqrt (4 * 3)

    We know that sqrt (ab) = sqrt (a) sqrt (b)

    sqrt (12) = sqrt (4) sqrt (3) = 2 sqrt (3)

    2 sqrt (3) * sqrt (12) = 2 sqrt (3) * 2 sqrt (3)

    =4 * (sqrt (3)) ^3

    = 4 * 3

    =12
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