this is math's question not history
Answer:
the simplified form of (5 + 2√12)(8 - 2√3) is 40 + 22√3.
Explanation:
To simplify the expression (5 + 2√12)(8 - 2√3), we can use the distributive property. Let's break it down step by step:
Step 1: Multiply the first terms:
5 * 8 = 40
Step 2: Multiply the outer terms:
5 * (-2√3) = -10√3
Step 3: Multiply the inner terms:
2√12 * 8 = 16√12
Step 4: Multiply the last terms:
2√12 * (-2√3) = -4√36 = -4 * 6 = -24
Step 5: Combine the like terms:
-10√3 + 16√12 = -10√3 + 16√(4 * 3) = -10√3 + 16√4√3 = -10√3 + 16 * 2√3 = -10√3 + 32√3 = 22√3
Step 6: Add the terms from Step 1 and Step 5:
40 + 22√3
Therefore, the simplified form of (5 + 2√12)(8 - 2√3) is 40 + 22√3.
I hope this helps! Let me know if you have any further questions.
