# Indices law - law 3

## a^(1/n)=\rootna

To remember this try simple numbers you know first.

We know 4^(1/2)=sqrt4=2

We can then apply this to all other examples:

Example 1

10\^(1/2)=\root2\10=3.162

Example 2

9\^(1/2)=\root2\9=3   (3xx3 =9)

The second root of 9=3

(The second root is also known as the square root)

Example 3

27\^(1/3)=\root3\27=3       (3xx3xx3=27)

The third root of 27=3

(The third root is also known as the cube root)