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16 July, 04:08

What values of a and b make the equation true square root of 648 equals square root of 2^a times 3^b

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  1. 16 July, 07:09
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    In symbols, sqrt (648) = 2^a * 3^b.

    One way in which to tackle this is to factor * 648.

    648 = 81*8.

    Note that 81 = 3^4 and that 8 = 2^3.

    Therefore, a = 4 and b = 3.
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