Evaluate square root of -6

Problem

√(,−6)

Solution

1. Identify the expression as the square root of a negative number, which requires the use of the imaginary unit i

2. Apply the property of square roots for negative numbers, which states that √(,−a)=√(,−1)⋅√(,a) for any positive real number a

3. Substitute i for √(,−1) to express the result in terms of complex numbers.

4. Simplify the expression by writing the real square root factor next to the imaginary unit.

Final Answer

√(,−6)=i√(,6)

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