Insert a rational number and irrational number between 2 and 3

1.	Insert a rational number and irrational number between 2 and 3
Answer» ANSWER: $\red{A\: rational \: number \: between \: a \: and \: b}$ $\green {= \frac{5}{2}}$ $\red{An\: irrational \: number \: between \: a \: and \: b}$ $\green {= \sqrt{6}}$ Step-by-step EXPLANATION: $Let \: a = 2 \: and \: b = 3 \: are \: two \\rational \: numbers$ $A\: rational \: number \: between \: a \: and \: b\\ = \frac{a+b}{2}\\= \frac{2+3}{2}\\= \frac{5}{2}$ $An \: irrational \: number \: between \:a \:and \:b \\= \sqrt{ab}\\= \sqrt{2\times 3}\\= \sqrt{6}$ THEREFORE., $\red{A\: rational \: number \: between \: a \: and \: b}$ $\green {= \frac{5}{2}}$ $\red{An\: irrational \: number \: between \: a \: and \: b}$ $\green {= \sqrt{6}}$ •••♪

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$\red{A\: rational \: number \: between \: a \: and \: b}$