Question

А) (5+√5)²+(5-√5)² Б) (11+√2)(11-√2) Помогите пожалуйста

Answer 1

Решение на фотографии

Answer 2

Solution

A) To solve the expression (5 + √5)² + (5 - √5)², we can use the formula for the square of a binomial: (a + b)² = a² + 2ab + b².

So, for the given expression: (5 + √5)² + (5 - √5)² = (5)² + 2 * (5) * (√5) + (√5)² + (5)² - 2 * (5) * (√5) + (√5)² = 25 + 10√5 + 5 + 25 - 10√5 + 5 = 60.

B) For the expression (11 + √2)(11 - √2), we can use the difference of squares formula: (a + b)(a - b) = a² - b².

So, for the given expression: (11 + √2)(11 - √2) = 11² - (√2)² = 121 - 2 = 119.

Therefore, A) (5 + √5)² + (5 - √5)² = 60 and B) (11 + √2)(11 - √2) = 119.

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