Simplify (√2+1) ² + (√2-1) ²

Answer:6

Step-by-step explanation:

*we solve every bracket alone

- (√2+1) ² = [rule:1st * 1st + 2*1st*2nd + 2nd*2nd]

2+2√2+1

3+2√2

- (√2-1) = [rule:1st*1st - 2*1st*2nd + 2nd+2nd]

2-2√2+1

3-2√2

-we write the whole equation

3+2√2+3-2√2 (+2√2 - 2√2) {positive and negative remove each other}

3+3=6