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Let-a-and-b-be-an-integer-part-and-a-decimal-fraction-of-7-respectively-Then-the-integer-part-of-a-b-is-




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

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