Question

give a rational and an irrational number between root 5 and root 6

Answer 1

It will be 2.35 and 2.37

Answer 2

Answer:

$i) Two \: rational \: numbers \\ between \: \sqrt{5}\: and \: \sqrt{6}\: are \: 2.3 \: \\and \: 2.4$

$ii) Two \: irrational \: numbers \\ between \: \sqrt{5}\: and \: \sqrt{6}\: are\\ \: 2.3010010001... \: and \: 2.4010010001...$

Step-by-step explanation:

$Given \\ two\: irrational \: numbers \: \\are \: \sqrt{5} \: and \: \sqrt{6}$

$\sqrt{5}≈ 2.23606 \: and\\\sqrt{6}≈ 2.44848$

$i) Two \: rational \: numbers \\ between \: \sqrt{5}\: and \: \sqrt{6}\:\\ are \: 2.3 \: and \: 2.4$

$ii) Two \: irrational \: numbers \\ between \: \sqrt{5}\: and \: \sqrt{6}\: \\are \: 2.3010010001... \: and \: 2.4010010001...$

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