Question

simplify:(√2+1)^2-(√2-1)^2

Answer 1

Answer:

The answer is 4√2

Step-by-step explanation:

(√2+1)² - (√2-1)²

we know :

a²-b² = (a+b)(a-b)

Therefore,

= (√2+1)²-(√2-1)²

= [√2+1+(√2-1)][√2+1-(√2-1)]

= [√2+1+√2-1][√2+1-√2+1]

= [2√2][2]

= 4√2

Hope it helps.

Answer 2

Step-by-step explanation:

>> (√2+1)^2 - (√2-1)^2

>> [(√2)^2 +(1)^2 +2(√2)1] -

[(√2)^2+(1)^2 -2(√2)1]

>>>. (2+1+2√2) - (2+1-2√2)

>>>>. 3 + 2√2 - 3 +2√2

>>>>>> 4√2

hope it's helpful