Question

(√5+1)^(2)+(√5-1)^(2)​

Answer 1

Как-то так. - - - - - - - - - - -

Answer 2

To simplify the expression (√5+1)^(2) + (√5-1)^(2), we can expand and simplify each term separately.

Let's start with the first term, (√5+1)^(2):

(√5+1)^(2) = (√5+1) × (√5+1) = (√5 × √5) + (√5 × 1) + (1 × √5) + (1 × 1) = 5 + √5 + √5 + 1 = 6 + 2√5

Now let's simplify the second term, (√5-1)^(2):

(√5-1)^(2) = (√5-1) × (√5-1) = (√5 × √5) - (√5 × 1) - (1 × √5) + (1 × 1) = 5 - √5 - √5 + 1 = 6 - 2√5

Finally, we can add the two simplified terms together:

(√5+1)^(2) + (√5-1)^(2) = (6 + 2√5) + (6 - 2√5) = 6 + 2√5 + 6 - 2√5 = 12

Therefore, the expression (√5+1)^(2) + (√5-1)^(2) simplifies to 12.