**Odd and Even kth Roots**

In the expression , we call k the index and assume k ≥2.

**ODD ROOTS**

The 5th root of a number a is the number c for which c^{5} = a. There are also

7th roots, 9th roots, and so on. Whenever the number k in is an odd

number, we say that we are taking an **odd root.**

Every number has just one real-number odd root. For example, = 2, = -2 and = 0.If the number is positive, then the root is positive.

If the number is negative, then the root is negative. If the number is 0, then the

root is 0. Absolute-value signs are not needed when we are finding odd roots.

If k is an odd natural number, then for any real number a,

= a.