Question

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Answer 1

$a=\sqrt{(5+3\sqrt 3)^2}=|5+3\sqrt 3|= 5+3\sqrt 3\\b=|5-3\sqrt 3|=3\sqrt 3-5 (\text{ deoarece }27>25)\\m_a=\dfrac{5+3\sqrt 3+3\sqrt 3-5}{2}=\dfrac{6\sqrt 3}{2}=3\sqrt 3\\m_g=\sqrt{(5+3\sqrt 3)(3\sqrt 3-5)}=\sqrt{27-25}=\sqrt 2$