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square root of i +square root of -i = sq. root 2.explain ?
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High School Teacher
Given problem is
`x=(x^m)^(1/m) ` for all `m !=0`
LHS=`(i-i+2sqrt(-i^2))^(1/2)` ,because `(a+b)^2=a^2+b^2+2ab`
=`(2sqrt(-i^2))^(1/2)` since `-i^2=1`
Posted by aruv on July 13, 2013 at 6:43 AM (Answer #1)
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