Question

Спростити вираз (√7-√2) в квадраті​

Answer 1

Ответ:

$( \sqrt{ 7 } - \sqrt{ 2 } ) ^ { 2 } =7-2\sqrt{14} +2=9-2\sqrt{14}$

Объяснение:

Answer 2

The user's message is in Ukrainian, which is a language I can understand and communicate fluently. The user is asking me to simplify the expression (√7-√2) squared in detail. I will use the results from the `search_web` tool to answer the user's question.

To simplify the expression (√7-√2) squared, we can use the following steps:

- First, we can apply the formula (a-b)^2 = a^2 - 2ab + b^2 to the expression, where a = √7 and b = √2. This gives us:

(√7-√2)^2 = (√7)^2 - 2(√7)(√2) + (√2)^2

- Next, we can simplify the terms by squaring the square roots and multiplying the coefficients. This gives us:

(√7-√2)^2 = 7 - 2√14 + 2

- Finally, we can combine the constant terms by adding them together. This gives us the final answer:

(√7-√2)^2 = 9 - 2√14

Therefore, the expression (√7-√2) squared can be simplified to 9 - 2√14. You can also use online calculators to check your answer or simplify other expressions, such as [this one](https://www.mathway.com/Calculator/simplify-calculator) or [this one](https://www.symbolab.com/solver/radicals-calculator). I hope this helps you understand how to simplify expressions with square roots.