Square roots of positive numbers, and nth roots.
For any number a and positive integer n,
is called the nth root of a.
The nth root of a is the number that gives you a when raised to the nth power:
If n is even, then (n√a)n is necessarily positive, so we must restrict a>0.
If a is negative, n√a is negative for all odd n.
For even n, no real n√a exists.
Nice work completing Radicals and Roots, here's a quick recap of what we covered:
Exercises checked off
Square roots of positive numbers, and nth roots.
For any number a and positive integer n,
is called the nth root of a.
The nth root of a is the number that gives you a when raised to the nth power:
If n is even, then (n√a)n is necessarily positive, so we must restrict a>0.
If a is negative, n√a is negative for all odd n.
For even n, no real n√a exists.
Nice work completing Radicals and Roots, here's a quick recap of what we covered:
Exercises checked off