Expressing a value in polar and cartesian coordinates

Question

I have to express the value of $\sqrt{i}$ in polar and cartesian form. I really don't know where to start this problem, any hint could help me please!

Answer 1

Here's a hint: $$e^{\pi/2}=i$$

Answer 2

There are two ways in which you can aproach this.

1) Set $a+ib=\sqrt{i}$, square both sides and solve for $a$ and $b$

2) Set $re^{i\theta}=\sqrt{i}$, again square both sides but this time solve for $r$ and $\theta$

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NOTE: In both methods you will be equating the real and imaginary parts of the left-hand-side and right-hand-side of the resulting equations.