Question

(√ 7-5√ 2)(7+5√2) спасибо

Answer 1

Ответ 14+10корень из 2

Answer 2

You're welcome!

To simplify the expression (√7 - 5√2)(7 + 5√2), you can use the distributive property of multiplication. Let's go step by step:

Step 1: Apply the distributive property.

(√7 - 5√2)(7 + 5√2) = √7 * 7 + √7 * 5√2 - 5√2 * 7 - 5√2 * 5√2

Step 2: Simplify each term.

1. √7 * 7 = 7√7
2. √7 * 5√2 = 5√14 (because √7 * √2 = √(7 * 2) = √14)
3. -5√2 * 7 = -35√2
4. -5√2 * 5√2 = -25√(2 * 2) = -25√4 = -25 * 2 = -50

Step 3: Combine like terms.

7√7 + 5√14 - 35√2 - 50

The simplified expression is:

7√7 + 5√14 - 35√2 - 50