Question

Show all work to multiply (6+√64) (3-√-16).

A) Detailed solution showing each step of multiplication.
B) 42−18i
C) 18+42i
D) −18+42i

Answer 1

To multiply (6+√64) and (3-√-16), use the distributive property to expand and simplify the expression.

Step-by-step explanation:

To multiply (6+√64) and (3-√-16), we can use the distributive property to expand the expression:

(6+√64) (3-√-16) = 6(3) + 6(-√-16) + √64(3) + √64(-√-16)

Simplifying further, we have:

18 - 6√-16 + 3√64 - √-16√64

Next, we can simplify the square roots:

18 - 6√-16 + 3√64 - √-16√64 = 18 - 6i√16 + 3(8) - (i√-16)(8)

Finally, we can simplify the complex square root terms:

18 - 6i√16 + 24 - 8i = 42 - 18i