Question

1)(√5-√2)²2)(2-√3)× (2+√3)Упростить ​умоляю быстрее дам 20 балов!!!

Answer 1

Ответ:

( √ 5 - √ 2 )² = ( √ 5 )² - 2 *√ 5 * √ 2 + ( √ 2 )² = 5 - 2 √ 10 + 2 = 7 - 2 √ 10

(2-√3)× (2+√3)=1

Объяснение:

Answer 2

Simplifying Expressions

To simplify the given expressions, let's break them down one by one:

1) (√5 - √2)²

To simplify this expression, we can use the formula for the square of a binomial: (a - b)² = a² - 2ab + b².

In this case, a = √5 and b = √2. Plugging these values into the formula, we get:

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

Simplifying further:

= 5 - 2√10 + 2

Therefore, the simplified expression is 5 - 2√10 + 2.

2) (2 - √3) × (2 + √3)

To simplify this expression, we can use the formula for the difference of squares: (a - b)(a + b) = a² - b².

In this case, a = 2 and b = √3. Plugging these values into the formula, we get:

(2 - √3)(2 + √3) = (2)² - (√3)²

Simplifying further:

= 4 - 3

Therefore, the simplified expression is 1.

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