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Without using a calculator, evaluate (√[3]2√13 + 5√3 - √[3]2√13 - 5√3).

a) (2)
b) (3)
c) (4)
d) (5)

1 Answer

2 votes

Final answer:

To evaluate the expression (√(3)2√(13) + 5√(3) - √(3)2√(13) - 5√(3)), we can simplify it step by step. The answer is 0.

Step-by-step explanation:

To evaluate the expression (√(3)2√(13) + 5√(3) - √(3)2√(13) - 5√(3)), we can simplify it step by step.

First, we group the like terms:

(√(3)2√(13) - √(3)2√(13)) + (5√(3) - 5√(3))

Next, we combine the like terms within each grouping:

0 + 0

So, the answer is 0.