Question

X=1+root 2 then (x-1/x)whole square

Answer 1

Answer:

[(x-1)/x]²=6-4√2

Step-by-step explanation:

X=1+√2

(x-1)/x =(1+√2-1)/(1+√2)

=(√2)/(1+√2)

=(√2)(1-√2)/(1+√2)(1-√2)

=(√2)(1-√2)/(1-2)

=(√2-2)/(-1)

= -(√2-2)

= 2-√2

Now

[(x-1)/x]²=(2-√2)²

= 2²+√2²-4√2

= 4+2-4√2

=

6-4√2