Solution 3.1:2c

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Current revision (07:56, 30 September 2008) (edit) (undo)
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The expression
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The expression <math>-3^2</math> means <math>-(3^2)= -9</math> (and not <math>(-3)^2</math>) and so we have that
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<math>-\text{3}^{\text{2 }}</math>
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means
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<math>-\left( \text{3} \right)^{\text{2}}\text{ }=-\text{9 }</math>
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(and not
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<math>\left( -\text{3} \right)^{\text{2}}</math>
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) and so we have
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{{Displayed math||<math>\sqrt{-3^2} = \sqrt{-9}\,\textrm{.}</math>}}
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The root expression
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The root expression <math>\sqrt{-9}</math> is not defined because there is no number which, when multiplied by itself, gives <math>-9</math>.
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<math>\sqrt{-9}</math>
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is not defined because there is no number which, when multiplied by itself, gives
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<math>-\text{9}</math>.
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Current revision

The expression \displaystyle -3^2 means \displaystyle -(3^2)= -9 (and not \displaystyle (-3)^2) and so we have that

\displaystyle \sqrt{-3^2} = \sqrt{-9}\,\textrm{.}

The root expression \displaystyle \sqrt{-9} is not defined because there is no number which, when multiplied by itself, gives \displaystyle -9.

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