Evaluate square root of -225

Problem

√(,−225)

Solution

1. Identify the expression as the square root of a negative number, which requires the use of the imaginary unit i where i=√(,−1)

2. Rewrite the radicand as a product of a positive number and −1

√(,−225)=√(,225⋅(−1))

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

√(,225⋅(−1))=√(,225)⋅√(,−1)

4. Evaluate the square root of the positive perfect square and substitute i for the square root of −1

√(,225)=15

√(,−1)=i

5. Multiply the results to find the final value.

15⋅i=15*i

Final Answer

√(,−225)=15*i

Want more problems? Check here!