Question

please solve with working ​

Answer 1

Step-by-step explanation:

x = √(3+2√2)

x = √(√2+1)²

x = √2+1

1/x = √2-1

1) x+1/x = √2+1+√2-1 = 2√2

2)x²+1/x² =(x+1/x)² -2 = (2√2)²-2 = 6

3)x³+1/x³ = (x+1/x)³ -3(x+1/x) = (2√2)³-6√2 = 16√2 -6√2 = 10√2

4) x³-1/x³ = (x-1/x)(x²+1/x² +1 ) = 2(7) = 14 ( By putting known values )