Question

Express 13 + 5 √(-14) as a complex number.

A) 13 + 5i √(14)
B) 13 + 5i√(14)
C) 13 - 5i √(14)
D) 13 - 5i √14)

Answer 1

To express 13 + 5 √(-14) as a complex number, we can rewrite √(-14) as i √14. Therefore, the answer is 13 + 5i √14. Hence, B) is correct.

Step-by-step explanation:

To express 13 + 5 √(-14) as a complex number, we need to rewrite √(-14) in terms of an imaginary unit. The square root of a negative number is not a real number, but it can be expressed using the imaginary unit √(-1) = i. So, √(-14) = √(-1) √(14) = i √14.

Substituting this back into the expression, we have 13 + 5i √14. Therefore, the answer is 13 + 5i √14 (option B).