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24 May, 10:12

8√8 can be written in the form 8∧k, Find the value of k?

8√8 can also be expressed in the form m√ 2 where m is a positive integer, Find the value of m?

rationalist the denominator of 1/8√8?

give the answer in the form √2 / p where p is a positive integer

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  1. 24 May, 10:35
    0
    Not sure about first question

    8√8 = 8 (√4 x 2) (you can take the root of 4 out of the bracket)

    8 x 2 (√2) = 16√2

    1/8√8 (to rationalise multiply by √8/√8 to eliminate the √8 from the denominator and so that it is only multiplied by 1 so has to be √8/√8)

    1/8√8 x √8/√8 = 1√8 / (8 x √8 x √8) = 1√8 / (8 x 8) = 1√8/64

    which can simplify

    1√8/64 = 1 (√4 x 2) / 64 = 2√2/64
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