Question

please answer your question correctly ​

Answer 1

we know that , x = 3+2√2

then 1/X be 1 ÷ 3+2√2

Now , we will rationalize 1 ÷ 3 + 2√2 [ 1/ X ]

so,

1 / X = 1 / 3+2√2 × 3 -2√2 ÷ 3-2√2

= 3 - 2√2 ÷ 3 ^2 - ( 2√2 )^2

= 3 - 2√2 ÷ 9 - 8

= 3 - 2√2

Now, ATQ

we have to find the value of x + 1 / X

we know the value of 1 /X that is 3 - 2√2

then ,

X + 1 / X = 3 + 2√2 + 3 - 2√2

cancel the both 2√2

after cancellation we have only 3 + 3

so, now

X + 1 / X = 3 + 3

X + 1 / X = 6

therefore , the value of X + 1 / X is 6