Answer:
19
Step-by-step explanation:
[tex](\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )\\\\As,\\\\\hookrightarrow a^{2} -b^{2} =(a+b)(a-b)\\\\Subtitute:\\\\a=\sqrt{24} \\\\b=\sqrt{k} \\\\Now,\\\\\hookrightarrow (\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )=5\\\\\hookrightarrow (\sqrt{24} )^{2} -(\sqrt{k} )^{2} =5\\\\\hookrightarrow 24-k=5\\\\\hookrightarrow 24-5=k\\\\\hookrightarrow 19[/tex]
