Blogarithm by Pritam
Sunday, July 12, 2015
How to prove √i + √(-i) = √2
We have, √i + √(-i)
= √{ √i + √(-i) }
2
= √{ i + (-i) + 2i(-i) }
= √( i - i - 2i
2
)
= √(-2i
2
)
= √2
Simple, yet tricky.
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