Question

How to prove it equal 8?

Answer 1

Answer:

The answer equals -8

Step-by-step explanation:

Order of Operations: BPEMDAS

FOIL - First, Outside, Inside, Last

Step 1: Write out expression

$(\sqrt{4-3i} -\sqrt{4+3i})^6$

Step 2: Expand

$(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})$

Step 3: FOIL first 2

$(\sqrt{4-3i} -\sqrt{4+3i})^2 = -2$

Step 4: Replace square roots with -2

-2(-2)(-2) = (-2)³ = 8