MHB The Benefits of Organic Gardening"Organic Gardening: Unlocking Nature's Benefits

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$\bigg[(2+2\sqrt{2})^2 \cdot (6-4\sqrt{2}) \bigg]^{1/6}$

$\bigg[2(6+4\sqrt{2})(6-4\sqrt{2}) \bigg]^{1/6}$

$\bigg[2(36-32) \bigg]^{1/6}$

$\bigg[2^3\bigg]^{1/6} = \sqrt{2}$
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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