Question

СРОЧНО ПОМОГИТЕ!!!!!

Answer 1

$\sqrt{24-t^2}-\sqrt{24+t^2}=2\\\\\Big(\sqrt{24-t^2}-\sqrt{24+t^2}\Big)^2=4\\\\(24-t^2)-2\cdot \sqrt{24-t^2}\cdot \sqrt{24+t^2}+(24+t^2)=4\\\\48-2\cdot \sqrt{24-t^2}\cdot \sqrt{24+t^2}=4\\\\2\cdot \sqrt{(24-t^2)(24+t^2)}=44\\\\\sqrt{576-t^4\; }=22\\\\\\\Big(\sqrt{24-t^2}+\sqrt{24+t^2}\Big)^2=(24-t^2)+2\cdot \sqrt{24-t^2}\cdot \sqrt{24+t^2}+(24+t^2)=\\\\=48+2\cdot \sqrt{24-t^2}\cdot \sqrt{24+t^2}=48+2\cdot \sqrt{576-t^4\; }=48+44=92\\\\\\\sqrt{24-t^2}+\sqrt{24+t^2}=\sqrt{92}$