Determine a sequence of rational numbers

Reference no: EM132365530

Problem 1 - Show that √7 is an irregular number and calculate it approximativly with 3 correct decimals, using an appropriate algorithm where you only use addition and multiplication of rational numbers.

Problem 2 - Give an example when the sum, product and qote of irrational numbers becomes a rational number.

Problem 3 - Show that there are indefenatly many rational numbers between two arbitrary different rational numbers. Determine a sequence of rational numbers that fulfill this requirement.

Reference no: EM132365530

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