document.write( "Question 1027375: Find all the roots of (sqrt -1), leave the answer in polar form. \n" ); document.write( "

Algebra.Com's Answer #854116 by greenestamps(13325) $\"\"$ $\"About$

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\n" ); document.write( "In order to answer this question, we first have to try to guess what the real question is. The presentation of the problem is exceedingly bad.

\n" ); document.write( "To start with, we have to guess what the meaning is of \"(sqrt -1)\". This looks like an expression involving the subtraction of one number from another; but \"sqrt\" is not a number. So the only reasonable guess is that this is supposed to be \"sqrt(-1)\".

\n" ); document.write( "Next, the question asks us to find roots. Roots are solutions to an equation; but there is no equation anywhere in the statement of the problem. \"sqrt(-1)\" is a number; numbers do not have roots.

\n" ); document.write( "Another tutor APPEARS to have interpreted the question to be asking for the SQUARE roots of \"sqrt(-1)\", giving two answers. But in fact what she showed in her response was dangerously wrong. She said $\"sqrt%28-1%29\"$ has the two values of i and -i. But $\"sqrt%28-1%29\"$ is A number -- it can't have two different values.

\n" ); document.write( "But the problem ask for \"all\" the roots of \"sqrt(-1)\", and while that number has two square roots, is also has three cube roots, and four 4th roots, and 93 93rd roots....

\n" ); document.write( "So the reader in the end has no idea what the question is really asking.

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