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kylielovespaul · Jun 1, 2008, 12:16 PM

(5 2/3)^1/2 is the problem 5 1/3 is the answer and I've checked a ton of sites and examples in the book and none of them tell me how to get that answer, they all come out either 5 1/6 or 1.709975. If anybody knows how to do this right could you please tell me?? :confused: :confused: :confused:

thanks,
Kylie.

galactus · Jun 1, 2008, 02:50 PM

Is that the square root of five and two thirds? If so, write it as 17/3

$\sqrt{\frac{17}{3}}=\frac{\sqrt{51}}{3}\approx{2.3 8$

The answer is not five and one third or any of those others listed.

galactus · Jun 2, 2008, 06:04 AM

Who knows. I doubt if we hear back from them anyway.

ebaines · Jun 2, 2008, 09:26 AM

I think I see what's going on. I think what Kylie meant to write is:

$<br /> (5^ {\frac 2 3}) ^ {\frac 1 2}<br />$
which would be equal to 5^1/3 = 1.709975...

Kylie: whenever you have $(a^b)^c$ you multiply the exponents to get $a^{bc}$ . Here a = 2/3 and b = 1/2, so $(5^ {\frac 2 3}) ^ {\frac 1 2} \ =\ 5^ {\frac 1 3}$ . Hope this helps.