Question

If x= √2 +1 find the value of x + 1/x​

Answer 1

Step-by-step explanation:

hope it helps please make my answer as brainlist and have a great day

Answer 2

Answer:

2√2

Step-by-step explanation:

• x + 1/x​
• x= √2 +1

(√2 +1) + 1/(√2 +1)

$\frac{(\sqrt{2} +1)^{2} + 1 }{(\sqrt{2} +1)}$

= $\frac{(2+2\sqrt{2}+1)+1}{\sqrt{2}+1}$

=$\frac{(4+2\sqrt{2}).(\sqrt{2}-1) }{(\sqrt{2}-1).(\sqrt{2}+1)}$

=$\frac{(4+2\sqrt{2}).(\sqrt{2}-1) }{2-1}$

=4√2 - 4 + 4 - 2√2

= 2√2