Simplify i^2

Problem

i squared

Solution

1. Identify the definition of the imaginary unit i

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

i equals the square root of negative 1

3. Apply the definition of squaring a square root, which states that open paren the square root of x close paren squared equals x for any real number x

i squared equals open paren the square root of negative 1 close paren squared

4. Simplify the expression by removing the radical.

i squared equals negative 1

Final Answer

i squared equals negative 1

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