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Between what two consecutive integers do $root5(175)$ lie?

1 Answer

Oct 18, 2015

Between $2$ and $3$

Explanation:

$2^5 = 32 < 175 < 243 = 3^5$

So

$2 = root(5)(2^5) < root(5)(175) < root(5)(3^5) = 3$

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