Final answer:
To simplify the expression √-3 √-12, we can use the property that the square root of a negative number is equal to the imaginary unit times the square root of the positive number. Applying this property to both terms, we can simplify the expression to -6.
Step-by-step explanation:
To simplify the expression √-3 √-12, we need to remember the properties of square roots. The square root of a negative number is not a real number, so we cannot directly simplify this expression. However, we can use the property that √-a = i√a, where i is the imaginary unit equal to √-1. Applying this property to both terms, we have √-3 = i√3 and √-12 = i√12. Multiplying these two terms, we get i√3 * i√12 = i^2 √(3 * 12) = -√36 = -6.
Learn more about simplify square roots of negative numbers