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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



Answer :

RhysH

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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