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13 October, 17:44

To rationalize the denominator of 2√10/3√11, you should multiply the expression by which factor?

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  1. 13 October, 18:34
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    This is the concept of surds, we are required to rationalize the denominator of the (2sqrt10) / (3sqrt11)

    torationalize the denominator we proceed as follows;

    (2sqrt10) / (3sqrt11)

    multiplying both the numerator and the denominator by 2sqrt11 we get:

    [ (2sqrt10) / (3sqrt11) ]*[ (3sqrt11) / (3sqrt11) ]

    =[2*3sqrt (11*10) ] / (3*3*sqrt (11*11))

    =[6sqrt110]/[3*3*11]

    =[6sqrt110]/99

    =[2sqrt110]/33

    the answer is:

    [2sqrt110]/33
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