document.write( "Question 950359: express the square root of x in the form x^k \n" ); document.write( "

Algebra.Com's Answer #580291 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+sqrt%28+x+%29+=+x%5Ek+\"$
\n" ); document.write( "You can square both sides
\n" ); document.write( " $\"+x+=+x%5E%282k%29+\"$
\n" ); document.write( "Note that this is:
\n" ); document.write( " $\"+x%5E1+=+x%5E%282k%29+\"$
\n" ); document.write( " $\"+1+=+2k+\"$
\n" ); document.write( " $\"+k+=+1%2F2+\"$
\n" ); document.write( "So, I can now say:
\n" ); document.write( " $\"+sqrt%28x%29+=+x%5E%281%2F2%29+\"$
\n" ); document.write( "And, to prove it, you can square both sides again
\n" ); document.write( " $\"+x%5E1+=+x%5E%28+2%2A%281%2F2%29%29+\"$
\n" ); document.write( " $\"+x%5E1+=+x%5E1+\"$
\n" ); document.write( " \n" ); document.write( "

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