Question

2*2√3 *4 *√3/2 Подробно!

Answer 1

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Answer 2

To simplify the given expression step-by-step, let's break it down:

1. 2 * 2√3: Multiply 2 by 2√3.
2. 4: Multiply the result from step 1 by 4.
3. √3/2: Divide the result from step 2 by 2√3.

Let's perform the calculations:

1. 2 * 2√3: This step involves multiplying 2 by 2√3. 2 * 2√3 = 4√3

2. 4 * 4√3: Here, we multiply the result from step 1 (4√3) by 4. 4 * 4√3 = 16√3

3. 16√3 * √3/2: In this step, we multiply the result from step 2 (16√3) by √3/2. To multiply square roots, we can combine them using the product rule, which states that √a * √b = √(a * b). √3 * √3 = √(3 * 3) = √9 = 3 Therefore, 16√3 * √3/2 = 16 * 3/2 = 24

So, the final simplified expression is 24.