Question Number 31579 by Joel578 last updated on 10/Mar/18
$$\mathrm{Let}\:{a}\:\mathrm{and}\:{b}\:\mathrm{be}\:\mathrm{an}\:\mathrm{integer}\:\mathrm{part}\:\mathrm{and}\:\mathrm{a}\:\mathrm{decimal} \\ $$$$\mathrm{fraction}\:\mathrm{of}\:\sqrt{\mathrm{7}},\:\mathrm{respectively}.\:\mathrm{Then}\:\mathrm{the}\:\mathrm{integer} \\ $$$$\mathrm{part}\:\mathrm{of}\:\frac{{a}}{{b}}\:\mathrm{is}? \\ $$
Answered by Tinkutara last updated on 10/Mar/18
![a=2 b=(√7)−2 [(a/b)]=[(2/((√7)−2))]=3](Q31580.png)
$${a}=\mathrm{2} \\ $$$${b}=\sqrt{\mathrm{7}}−\mathrm{2} \\ $$$$\left[\frac{{a}}{{b}}\right]=\left[\frac{\mathrm{2}}{\sqrt{\mathrm{7}}−\mathrm{2}}\right]=\mathrm{3} \\ $$
Commented by Joel578 last updated on 11/Mar/18
$${thank}\:{you}\:{very}\:{much} \\ $$