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Simplify (√2+1)² + (√2-1)²​

1 Answer

2 votes

Answer:6

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

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