Question

2√32*√216*3√48 пожалуйтса

Answer 1

ответ 5 сто процентов

Answer 2

3456 Как то так. Мне было легче возвести все в корень , а потом преобразовать

Answer 3

To simplify the expression 2√32 * √216 * 3√48, you can start by factoring the numbers under each root and then combining the like terms. Here's the step-by-step solution:

1. Simplify the numbers under each root: √32 = √(16 * 2) = √16 * √2 = 4√2 √216 = √(36 * 6) = √36 * √6 = 6√6 3√48 = 3√(16 * 3) = 3√16 * 3√3 = 2 * 3√3 = 6√3

2. Now substitute the simplified values back into the original expression: 2√32 * √216 * 3√48 = 2 * 4√2 * 6√6 * 6√3

3. Multiply the coefficients (numbers in front of the roots): 2 * 4 * 6 = 48

4. Combine the roots with the same base: √2 * √6 * √3 = √(2 * 6 * 3) = √36 = 6

5. The final simplified expression is: 48 * 6 = 288

So, 2√32 * √216 * 3√48 simplifies to 288.