Question

(3+✓5)2+(3-✓5)2 найти значение выражения

Answer 1

(3+√5)^2+(3-√5)^2= По ФСУ =>

(3^2+2*3*√5)+(3^2-2*3*√5)= Раскрываем

скобки =>

9+6√5+5+9-6√5+5= 28

Ответ:28

Answer 2

To find the value of the given expression, let's simplify it step by step:

1. Simplify the squared terms: (3 + √5)^2 = (3 + √5)(3 + √5) = 3 * 3 + 3 * √5 + √5 * 3 + √5 * √5 = 9 + 6√5 + 5 = 14 + 6√5

(3 - √5)^2 = (3 - √5)(3 - √5) = 3 * 3 - 3 * √5 - √5 * 3 + √5 * √5 = 9 - 6√5 + 5 = 14 - 6√5

2. Now add the simplified squared terms together: (3 + √5)^2 + (3 - √5)^2 = (14 + 6√5) + (14 - 6√5) = 14 + 14 + 6√5 - 6√5 = 28

So, the value of the expression (3 + √5)^2 + (3 - √5)^2 is 28.