Extreme Algebra Question ... believe in the math

[@에스피-z2g]

x=rt2-1
x^2=3-2rt2
x^4=17-12rt2
x^8=577-408rt2

[@jimv9210]

For those who can't get enough of polynomial division, this is also equal to 1/(Sqrt(2) + 1)^8. 🙃

[@MikhailPleshchev]

(√2-1) ^8 =
((√2-1) ^2) ^4 =
(2-2√2+1) ^4 =
(3-2√2) ^4 =
((3-2√2) ^2) ^2 =
(9 - 12√2 +8) ^2 =
(17-12√2) ^2 =
289 - 408√2 + 288 =
577 - 408√2

[@rena90929]

I did that too

[@RyanLewis-Johnson-wq6xs]

(Sqrt[2]-1)^8=577-408Sqrt[2] It’s in my head.

[@Teraverse420]

There's a thing called binomial theorem

[@shan-e-amaliyaat-bilari]

13^x-7^x=5^x
X=?

[@mikecloeter4780]

Engineer says 9E-4

[@RealQinnMalloryu4]

(2 ➖ 1)^2^3 (1 ➖1)1^1^2 ()^1^2 (x ➖ 2x+1).

[@pkgupts1153]

Use a bold pen. Poor show