Question

What is the square root of i?

Answer 1

i is an imaginary number.

I = square root -1

Find square root of i:

Let square root I = a + ib

I = (a+ ib)^2

I = a^2 + i^2b^2+ 2abi

I = a^2 -b^2 + 2abi

Square root I = +/- square root 2/2+ I square root 2/2