Simplify i^2

Problem

i2

Solution

1. Identify the definition of the imaginary unit i

2. Recall that the imaginary unit i is defined as the square root of −1

i=√(,−1)

3. Apply the definition of squaring a square root, which states that (√(,x))2=x for any real number x

i2=(√(,−1))2

4. Simplify the expression by removing the radical.

i2=−1

Final Answer

i2=−1

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