Question

Помогите решить!! полное решение, пожалуйста (5√7 - √63 + √14) * √7

Answer 1

ОТВЕТ: 3 √98......................

Answer 2

To solve the expression (5√7 + √63 + √14) * √7, we can follow these steps:

1. Simplify the expression inside the parentheses: - √63 can be simplified as √(9 * 7), which is equal to 3√7. - √14 cannot be simplified further. - Therefore, the expression becomes (5√7 + 3√7 + √14) * √7.

2. Combine like terms: - Since both terms inside the parentheses have a common factor of √7, we can factor it out: (5√7 + 3√7 + √14) * √7 = (5 + 3 + √14) * √7.

3. Simplify the expression further: - 5 + 3 = 8, so the expression becomes (8 + √14) * √7.

4. Multiply the expression by √7: - Distribute √7 to both terms inside the parentheses: (8 + √14) * √7 = 8√7 + √14 * √7.

5. Simplify the expression: - √14 * √7 can be simplified as √(14 * 7), which is equal to √98. - Therefore, the final expression is 8√7 + √98.

Please note that the final expression, 8√7 + √98, cannot be simplified further because √98 is an irrational number.

I hope this helps! Let me know if you have any further questions.