Operators > Algebra Operators > Square Root and Nth Root Operator
Square Root and Nth Root Operator
Operator
Description
Keyboard Shortcut
Returns the principle value of the square root of x.
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Returns the nth root of x.
Operands
x is a scalar.
n is a positive integer.
Additional Information
Leave the top left placeholder of the square root and nth root operator empty when evaluating the square root of an expression.
In general, every number has n nth roots. For example, 2 and −2 are both square roots of 4. The square root and nth root operator returns the principal-valued root, the one with the smallest nonnegative complex argument. Since the complex argument of 2 is 0, and that of −2 is π, the result is 2.
The square root and nth root operator returns a real root whenever one is available. If x is a negative real number, the nth root of x returned is a real root if n is odd, and it is a complex root if n is even. To return the principal branch of the nth root of x, raise x to the power 1 / n instead.
Principal Value
Principal Branch
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