document.write( "Question 114539: I need to check these four problems, can anyone help?\r
\n" ); document.write( "\n" ); document.write( "3^sqrt(-27)\r
\n" ); document.write( "\n" ); document.write( "sqrt(-3x)^2
\n" ); document.write( "(with the square inside the square root sign)\r
\n" ); document.write( "\n" ); document.write( "sqrt(-4)\r
\n" ); document.write( "\n" ); document.write( "3^sqrt(-1/8)
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Algebra.Com's Answer #83314 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
1.
\n" ); document.write( " $\"3%5Esqrt%28-27%29=+3%5E%28sqrt%2827%29sqrt%28-1%29%29=+3%5E%283i%29\"$ \r
\n" ); document.write( "\n" ); document.write( "2.\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28%28-3x%29%5E2%29+=+-3x\"$ \r
\n" ); document.write( "\n" ); document.write( "3.\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28-4%29+=+sqrt%284%29%2Asqrt%28-1%29+=+2i\"$ ЕЕЕЕ. imaginary number $\"i%2Ai+=+-1\"$ \r
\n" ); document.write( "\n" ); document.write( "4.\r
\n" ); document.write( "\n" ); document.write( " $\"3%5Esqrt%28-%281%2F8%29%29\"$ ЕЕЕЕЕЕ.. apply rule $\"sqrt%28a%2Fb%29+=+sqrt%28a%29%2Fsqrt%28b%29\"$ \r
\n" ); document.write( "\n" ); document.write( "where $\"b\"$ cannot be equal to $\"0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"3%5E%28sqrt%28-1%29%2Fsqrt%288%29%29=3%5E%28i%2Fsqrt%288%29%29\"$ ЕЕЕЕ $\"sqrt%28-1%29=i\"$ \r
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\n" ); document.write( "\n" ); document.write( "Since $\"sqrt%288%29=2.8284271247461903=2.83\"$ , we will have:\r
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\n" ); document.write( "\n" ); document.write( " $\"3%5E%28sqrt%28-1%29%2Fsqrt%288%29%29+=+3%5E%28i%2F2.83%29\"$ ЕЕЕЕ \r
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