Simplify square root of -121

Problem

√(,−121)

Solution

1. Identify the square root of a negative number by using the imaginary unit i where i=√(,−1)

2. Rewrite the expression as the product of the square root of the positive number and the square root of −1

√(,−121)=√(,121⋅(−1))

3. Apply the product property of radicals to separate the terms.

√(,121)⋅√(,−1)

4. Evaluate the square root of 121 which is 11 and substitute i for √(,−1)

11⋅i

Final Answer

√(,−121)=11*i

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