Question

If m =1+√2, then find the value of m⁴ − 1 / m⁴ .

Answer 1

Answer:

Given,

m−

m

1

=5(1).

Then,

m

2

+

m

2

1

=(m−

m

1

)

2

+2.m.

m

1

(a−b)

2

=a

2

−2ab+b

2

=5

2

+2 [ Using (1)]

=27.