Question Number 17446 by Tinkutara last updated on 05/Jul/17
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{integer}\:\mathrm{closest}\:\mathrm{to} \\ $$$$\mathrm{100}\left(\mathrm{12}\:−\:\sqrt{\mathrm{143}}\right). \\ $$
Commented by ajfour last updated on 06/Jul/17
$$\mathrm{100}\left(\mathrm{12}−\sqrt{\mathrm{143}}\right)=\frac{\mathrm{100}}{\mathrm{12}+\sqrt{\mathrm{143}}} \\ $$$$\:\:\approx\frac{\mathrm{100}}{\mathrm{24}}\:\approx\:\mathrm{4}.\mathrm{2}\: \\ $$$$\mathrm{hence}\:\mathrm{closest}\:\mathrm{integer}\:\mathrm{is}\:\:\mathrm{4}. \\ $$
Commented by Tinkutara last updated on 06/Jul/17
$$\mathrm{Thanks}\:\mathrm{Sir}! \\ $$