Question

How to prove it equal 8?

Answer 1

The answer equals -8

Explanation:

Order of Operations: BPEMDAS

FOIL - First, Outside, Inside, Last

Step 1: Write out expression

`(√(4-3i) -√(4+3i))^6`

Step 2: Expand

`(√(4-3i) -√(4+3i))(√(4-3i) -√(4+3i))(√(4-3i) -√(4+3i))(√(4-3i) -√(4+3i))(√(4-3i) -√(4+3i))(√(4-3i) -√(4+3i))`

Step 3: FOIL first 2

`(√(4-3i) -√(4+3i))^2 = -2`

Step 4: Replace square roots with -2

-2(-2)(-2) = (-2)³ = 8