Question

simplyfy(root5+1)^2 +(root5-1)^2

Answer 1

Given :-

$\sf\bullet{ {(\sqrt5+1 )}^{2} +{(\sqrt5-1)}^{2} }$

Solution:-

$\tt{⟹{(\sqrt5+1) }^{2} +{(\sqrt5-1)}^{2}}$

$\tt{⟹5+1+2\sqrt{5}+5+1-2\sqrt{5}}$

$\large\tt{⟹ \boxed{12}}$

$\huge{ \mathfrak { \boxed{ \red{Thanks}}}}$

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Answer 2

$\huge{\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}$

Given :-

\sf\bullet{ {(\sqrt5+1 )}^{2} +{(\sqrt5-1)}^{2} }∙(

5

+1)

2

+(

5

−1)

2

Solution:-

\tt{⟹{(\sqrt5+1) }^{2} +{(\sqrt5-1)}^{2}}⟹(

5

+1)

2

+(

5

−1)

2

\tt{⟹5+1+2\sqrt{5}+5+1-2\sqrt{5}}⟹5+1+2

5

+5+1−2

5

\large\tt{⟹ \boxed{12}}⟹

12