1,767
edits
Changes
Jump to navigation
Jump to search
Line 5:
Line 5: − +
I believe this is a bit better... what about the other stuff on this page?
Negative numbers have square roots that lie outside the [[real number|real numbers]], and involve what are called [[imaginary number|imaginary numbers]], constructed via use the square root of -1, which is labelled ''i''. Thus, the square root of -9 is 3''i''.
Negative numbers have square roots that lie outside the [[real number|real numbers]], and involve what are called [[imaginary number|imaginary numbers]], constructed via use the square root of -1, which is labelled ''i''. Thus, the square root of -9 is 3''i''.
Technically, all numbers have two square roots, one positive and the other negative, since sqauring the negative number results in a positive number. Thus, sqr(9)=plus or minus 3, written +/-3; likewise <math>\sqrt(-9) = +/-3i</math>.
Technically, all numbers have two square roots, one positive and the other negative, since sqauring the negative number results in a positive number. Thus, sqr(9)=plus or minus 3, written +/-3; likewise <math>\sqrt{-9} = \pm3i</math>.
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: ''X''<sup>1/2</sup> <math>*</math> ''X''<sup>1/2</sup> = ''X''<sup>1/2+1/2</sup> = ''X''<sup>1</sup> = ''X''.
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: ''X''<sup>1/2</sup> <math>*</math> ''X''<sup>1/2</sup> = ''X''<sup>1/2+1/2</sup> = ''X''<sup>1</sup> = ''X''.
[[category:mathematics]]
[[category:mathematics]]