Question

(3√2)²+4²-2*3√2*4*√2/2​

Answer 1

Ответ:

10

Пошаговое объяснение:

Решение во вложении

Answer 2

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

1. First, simplify (3√2)². (3√2)² = (3)² * (√2)² = 9 * 2 = 18

2. Next, simplify 4². 4² = 4 * 4 = 16

3. Simplify 2 * 3√2 * 4 * √2/2. Notice that the term √2/2 is the square root of 2 divided by 2. Simplifying further: 2 * 3√2 * 4 * √2/2 = 24√2 * √2/2

   Now, multiply the coefficients: 24 * 2 = 48 Multiply the square roots: √2 * √2 = √(2 * 2) = √4 = 2

   So, 2 * 3√2 * 4 * √2/2 = 48 * 2 = 96

4. Finally, substitute the values back into the original expression. (3√2)² + 4² - 2 * 3√2 * 4 * √2/2 = 18 + 16 - 96

   Now, simplify the remaining addition and subtraction: 18 + 16 - 96 = 34 - 96 = -62

Therefore, the simplified value of the expression (3√2)² + 4² - 2 * 3√2 * 4 * √2/2 is -62.