Which of the following accurately compare 15-√105 and 5?A.√105 is slightly more than 10, so 15-√105 is greater than 5B. √105 is slightly less than 10, so 15-√105 is less than 5C. √105 is slightly more than 10, some 15-√105 is less than 5D. √105 is slightly less than 10, so 15-√105 is greater than 5

Answer:  The correct option is (C) [tex]\sqrt{105}[/tex] is slightly greater than 10,  so [tex]15-\sqrt{105}[/tex] is less than 5.Step-by-step explanation:  We are given to select the correct statement that accurately compare [tex]15-\sqrt{105}[/tex] and [tex]5[/tex].We have[tex]\sqrt{105}=10.2469,[/tex]so, we get[tex]15-\sqrt{105}=15-10.2469=4.7531.[/tex]Since 4.7531 < 5, so[tex]15-\sqrt{105}<5.[/tex] Therefore, [tex]\sqrt{105}[/tex] is slightly greater than 10,  so [tex]15-\sqrt{105}[/tex] is less than 5.Thus, the correct option is (C).