Question

please answer the question..

Answer 1

check the attachment

Answer 2

Answer:

$8$

Step-by-step explanation:

Substitute a in the equation

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

To solve this we need to get rid of the fraction, so multiply it with its conjugate

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

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

⇒$(\sqrt{2}+1 +\sqrt{2}-1)^2$

⇒$(2\sqrt{2} )^2=4*2=8$

Hence, the trick to solve these questions is to use conjugate

Hope that helps!...:)