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Radicals and Roots
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Square roots of positive numbers, and nth roots.
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nth Roots
1. Prior learning
For any number a and positive integer n,
n√a
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:
(n√a)n=a
If n is even, then (n√a)n is necessarily positive, so we must restrict a>0.
Roots of negative numbers
SL Core 1.5
If a is negative, n√a is negative for all odd n.
For even n, no real n√a exists.
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