Question

solve this question fast ​

Answer 1

Answer: 34

Step-by-step explanation:

x = 3+ √8

x = $\frac{(3+\sqrt{8})(3-\sqrt{8}  }{3-\sqrt{8} }$

x = $\frac{9-8}{3-\sqrt{8} }$

x = $\frac{1}{3-\sqrt{8} }$

Or we can write $\frac{1}{x}$ = (3-√8)

Put the value and find out

x² +$\frac{1}{x^{2} }$ = x² + ($\frac{1}{x}$)²

So x² + $\frac{1}{x}$² = (3 +√8)² + (3 -√8)²

= 9+6√8+8 + 9–6√8+8

= 34

Answer 2

this is shortcut for this type of question.