Question

Combine these radicals:

(√-381 + √16)
(A) -23
(B) -11
(C) -397
(D) -3/13

Answer 1

Combining the radicals (√-381 + √16) results in an expression that includes an imaginary number and does not match any provided answer choices, suggesting an error in the question or answer choices.

Step-by-step explanation:

To combine the radicals (√-381 + √16), we simplify the square roots. Since the square root of a negative number is an imaginary number, √-381 is not a real number and cannot be simplified in the realm of real numbers. However, √16 is a perfect square and equals 4. Bringing together the simplified parts, we get (imaginary number + 4), which does not match any of the provided answer choices (A) -23, (B) -11, (C) -397, (D) -3/13. Therefore, there might be an error or misunderstanding in the question or the answer choices. Combining radicals typically involves adding or subtracting like terms, but the initial radical here involves an imaginary component, indicating a possible error.