- #1
Mr Davis 97
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- 44
If we define ##|a| = \sqrt{a^2}##, then why can't we do something like ##\sqrt{a^2} = (\sqrt{a})^2 = a##? Or equivalently ##\sqrt{a^2} = (a^2)^{1/2} = a^{2/2} = a##? Isn't this a contradiction?
Also, how would this relate to showing that ##\sqrt{|a|} = |\sqrt{a}|## is true or false?
Also, how would this relate to showing that ##\sqrt{|a|} = |\sqrt{a}|## is true or false?