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Value of iota |
Answer» The square root of a negative real number is called an imaginary quantity or imaginary number. e.g., √-3, √-7/2The quantity √-1\xa0is an imaginary number, denoted by ‘i’, called iota.Integral Powers of Iota (i)i=√-1, i2\xa0= -1, i3\xa0= -i, i4=1So, i4n+1= i, i4n+2\xa0= -1, i4n+3\xa0= -i, i4n+4\xa0= i4n\xa0= 1In other words,in\xa0= (-1)n/2, if n is an even integerin\xa0= (-1)(n-1)/2.i, if is an odd integer | |