Question

√2*(√8+4√2) ... Решите пожалуйста. Срочно

Answer 1

$\sqrt{2}*( \sqrt{4*2}+4 \sqrt{2})= \sqrt{2}*(2 \sqrt{2}+4 \sqrt{2})= \sqrt{2}*6 \sqrt{2}=6*2=12$

Answer 2

$\sqrt{2}*( \sqrt{8}+4\sqrt{2})= \sqrt{2}*(2\sqrt{2}+4\sqrt{2})= \sqrt{2}*6 \sqrt{2}=12$

Answer 3

Solving the Equation

To solve the given equation √2*(√8+4√2), we can follow these steps:

1. First, simplify the expression inside the parentheses. 2. Then, perform the multiplication with √2.

Let's proceed with the solution.

Step 1: Simplify the Expression Inside the Parentheses

The expression inside the parentheses is (√8+4√2). We can simplify this by combining like terms.

Step 2: Perform the Multiplication with √2

After simplifying the expression inside the parentheses, we can then multiply the result by √2.

Let's calculate the result.

Solution

1. Simplify the Expression Inside the Parentheses: - The expression (√8+4√2) simplifies to (2√2+4√2). - Combining like terms, we get 6√2.

2. Perform the Multiplication with √2: - Multiplying 6√2 by √2, we get 6√2 * √2 = 6 * 2 = 12.

Therefore, the result of the given expression √2*(√8+4√2) is 12.

This solution is based on the mathematical operations involved in simplifying and multiplying the given expression.