Question

Express the answer in a+bi form for the equation: (2 + √(-25))(3 - √(-16))

Answer 1

To express the answer in a+bi form, simplify the expression (2 + √(-25))(3 - √(-16)). The simplified form is 26 + 7i.

Step-by-step explanation:

To express the answer in a+bi form, we need to simplify the expression first.

(2 + √(-25))(3 - √(-16)) can be simplified as follows:

(2 + 5i)(3 - 4i)

Now, we can use the distributive property to expand and combine like terms:

6 - 8i + 15i - 20i²

Combining like terms:

6 + 7i - 20i²

Remember that i² = -1:

6 + 7i - 20(-1)

Simplifying further:

6 + 7i + 20

Final answer in a+bi form:

26 + 7i