Question

If x=3+√8 find the value of X²+1/x

Answer 1

Answer:

(17 + 6 √8) + 1 / 3+ √8

Step-by-step explanation:

x = 3 + √ 8

Squaring on both sides

x^2 = (3 + √8 ) ^2

= 9 + 8 + 6√8

= 17 + 6√8

x^2 + 1 / x = ( 17 + 6√ 8 ) + 1 / (3 + √ 8 )

on solving we get,

x ^ 2 + 1 / x = (70 + 25 √8 ) / (3 + √8 )