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Question: Ch 15.1, 15.2 & 15.3 HW Roots & Simplifying, Multiply, Divide, Add and Question 3, 15.1.5 HW Score:…
Ch 15.1, 15.2 & 15.3 HW Roots & Simplifying, Multiply, Divide, Add and Question 3, 15.1.5 HW Score: Points: Find the square root. -√4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. -√4 = (Type an integer or a simplified fraction.) B. The square root is not a real number.
Solution
To find the square root of a negative number, consider the expression: \[ \sqrt{-4} \] The square root of a negative number is not a real number. Instead, it involves imaginary numbers. In this case, \[ \sqrt{-4} = \sqrt{4} \cdot \sqrt{-1} = 2i \] Thus, since it results in an imaginary number, the square root is not a real number. Therefore, the correct choice is: B. The square root is not a real number.