Express the sqr root of 2 as a power of 8?

2009-05-22 3:54 pm
right i know this is surds but how do i go about doing it...please could you help and show your answer in a way i will understand!

Firstly i do realise sqr root of 2 is same as 2 to the power of 0.5

but how do i make it a power of 8?!?!?!?!

Thanks

回答 (3)

2009-05-22 3:59 pm
✔ 最佳答案
8 is 2^3 so it is sqrt(2)^6 (that is 2^(.5))^3
2009-05-22 11:00 pm
2^(1/2) = 8^(x) say

2^(1/2) = 2^(3x)

3 x = 1/2

x = 1 / 6
2009-05-22 10:58 pm
√2
= 2^(1/2)
= 2^(3/6)
= 2^(3 * 1/6)
= (2^3)^(1/6)
= 8^(1/6)


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