Question

СРОЧНО !!! ДАМ 30 БАЛОВ​

Answer 1

$\dfrac{1}{\sqrt{\sqrt{30} \\+3} -1} -\dfrac{1}{\sqrt{\sqrt{30} \\+3} +1} =\dfrac{\sqrt{\sqrt{30} +3}+1-\sqrt{\sqrt{30} +3}+1 }{(\sqrt{\sqrt{30} +3}-1)(\sqrt{\sqrt{30} +3}+1)}=\\\\=\dfrac{2}{\sqrt{30}+3-1 }=\dfrac{2}{\sqrt{30} +2}=\dfrac{2\cdot (\sqrt{30}-2) }{(\sqrt{30}+2)(\sqrt{30}-2)} =\dfrac{2(\sqrt{30} -2)}{30-4}=\\\\=\dfrac{2(\sqrt{30}-2) }{26}=\boxed{ \dfrac{\sqrt{30}-2 }{13}}$