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Technically, all numbers have two square roots, one positive and the other negative, since squaring the negative number results in a positive number.  Thus, sqr(9)=plus or minus 3, written +/-3; likewise <math>\sqrt{-9} = \pm3i</math>.
 
Technically, all numbers have two square roots, one positive and the other negative, since squaring the negative number results in a positive number.  Thus, sqr(9)=plus or minus 3, written +/-3; likewise <math>\sqrt{-9} = \pm3i</math>.
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The square root of a number can also be denoted as <math>X^{\frac{1}{2}}</math>, or ''X''^(1/2) if superscript is not available.  This can readily be seen by the rule of adding powers when multiplying: <math>X^{\frac{1}{2}} * X^{\frac{1}{2}} = X^{\frac{1}{2}+\frac{1}{2}} = X^{1} = X</math>
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The square root of a number can also be denoted as <math>X^{\frac{1}{2}}</math>, or ''X''^(1/2) if superscript is not available.  This can readily be seen by the rule of adding powers when multiplying: <math>X^{\frac{1}{2}} \cdot X^{\frac{1}{2}} = X^{\frac{1}{2}+\frac{1}{2}} = X^{1} = X</math>
 
[[category:mathematics]]
 
[[category:mathematics]]
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