152k views
4 votes
Which expression represents the number 614 + 613 – 212 + √(-49) rewritten in a + bi form?

a. 0 - 8i
b. -8 - 13i
c. 8 - 13i
d. 8 + 0i

1 Answer

6 votes

Final answer:

To represent the expression in the a + bi form, the real and imaginary parts need to be separated and combined. After finding the square root of -49, the expression 614 + 613 – 212 + √(-49) can be simplified to 1005 + 7i.

Step-by-step explanation:

The expression 614 + 613 – 212 + √(-49) can be rewritten in the form a + bi. To do this, we first find the square root of -49, which is 7i (since the square of any imaginary number is negative). Then, adding the real and imaginary parts separately, we have 614 + 613 – 212 + 7i. Simplifying further, we get 1005 + 7i. Therefore, the expression is represented in the a + bi form as 1005 + 7i.

User Vladimir Tsukanov
by
9.4k points