Square Root and Nth Root Operator
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Operator
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Description
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Keyboard Shortcut
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Returns the principle value of the square root of x.
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Returns the nth root of x.
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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.
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Principal Value
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Principal Branch
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