Question

if a=2+✓3 and b =2-✓3 then find a^2 + b^2​

Answer 1

Answer:

(2+√3)^2 + (2-√3)^2

4+3+4√3+4+3-2√3

7+7=14

Answer 2

$a = 2 + \sqrt{3} \\ b = 2 - \sqrt{3}$

${a}^{2} + {b}^{2} = {(2 + \sqrt{3} )}^{2} + (2 - { \sqrt{3}) }^{2} \\ = 4 + 3 + 4 \sqrt{3} + 4 + 3 - 4 \sqrt{3} \\ = 4 + 3 + 4 + 3 \\ = 14$