document.write( "Question 1181505: Given z = (1+i)/(√2), find (z)^(3/2) \n" ); document.write( "

Algebra.Com's Answer #811407 by ikleyn(52906) $\"\"$ $\"About$

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\n" ); document.write( "Given z = (1+i)/(√2), find (z)^(3/2)
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document.write( "Notice that this complex number has the modulus equal to 1 (one) and the argument of   radians, or 45°.\r\n" );
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document.write( "Therefore,  z =  = cis(45°).\r\n" );
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document.write( "It implies  (z)^3 =  = cis(135°).\r\n" );
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document.write( "Therefore,  (z)^(3/2) =  = cis(67.5°).      ANSWER\r\n" );
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