Question

if n = 1+2 root 2 then evaluate n^2 +1/ n^2​

Answer 1

$\huge{\sf{\boxed{\red{Answer:-}}}}$

given:-

n=1+2$\sqrt{2}$

=$\large{\frac{n^2+1}{n^2}}$

=$\large{\frac{(1+2√2)^2+1}{(1+2√2)^2</p><p>}}$

=$\large{\frac{1^2+2(2√2)(1)+(2√2)^2+1}{1^2+2(2√2)(1)+(2√2)^2}}$

=$\large{\frac{1+4√2+8+1}{1+4√2+8}}$

=$\large{\frac{10+4√2}{9+4√2}}$