If c > 0, let c^(1/n) denote the nth positive root of c. This root is unique ...?

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The Student

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My notes say this, but I have absolutely no idea what it means. From my grade 12 background in calculus, I was always told that a root is when the function equals zero. But I cannot find a positive root if I give c a value of, say, 5 and have c^(1/n) = 0.
 
The Student said:
If c > 0, let c^(1/n) denote the nth positive root of c. This root is unique ...?
My notes say this, but I have absolutely no idea what it means. From my grade 12 background in calculus, I was always told that a root is when the function equals zero. But I cannot find a positive root if I give c a value of, say, 5 and have c^(1/n) = 0.
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The "nth root" is not related to "root of a function." Instead think "square root, "cube root," . . .

\(\displaystyle \displaystyle \sqrt[n]{c} = c^{1/n} \)
 
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