Question

simplify
${( \sqrt{5} + 1) }^{2} + {( \sqrt{5} - 1) }^{2}$
​

Answer 1

Answer:

Answer is 12.

Step-by-step explanation:

See the attachment for explanation

Answer 2

QUESTION :

simplify ${( \sqrt{5} + 1) }^{2} + {( \sqrt{5} - 1) }^{2}$?

ANSWER:

${( \sqrt{5} + 1) }^{2} + {( \sqrt{5} - 1) }^{2}$

$using \: identity \: {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \: and \: {(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy$

${ \sqrt{5} }^{2} + {1}^{2} + (2 \times 1 \times \sqrt{5} ) + \sqrt{ {5}^{2} } + {1}^{2} - (2 \times 1 \times \sqrt{5} )$

$= 5 + 1 + 5 + 1$

$= 12$

$\implies$$\huge \tt \underline \orange {Answer\:=\: 12}$