Question

find five rational numbers between 2 and 3 by mean method

Answer 1

hey there!!

this answer has already been answered on brainly
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https://brainly.in/question/10722

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Answer 2

Hello mate..

Here Is Your Answer:

We know that,

$\bold{ \frac{a + b}{2} \: is \: a \: rational \: between \: any \: two \: numbers \: a \: and \: b.}$

Let,

a = 2

b = 3

Then,

$\bold{ \frac{2 + 3}{2} = \frac{5}{2} } \\ \bold = > {2 < \frac{5}{2} < 3 }$

Also,

$\bold{ \frac{2 + \frac{5}{2} }{2} = \frac{4 + 5}{2 \times 2} } \\ \bold{ = \frac{9}{4} } \\ \bold{ = > 2 < \frac{9}{4} < \frac{5}{2} < 3 }$

And,

$\bold{ \frac{2 + \frac{9}{4} }{2} = \frac{17}{8} }$

And,

$\bold{ \frac{2 + \frac{17}{8} }{2} = \frac{33}{16} }$

And,

$\bold{\frac{2 + \frac{33}{16} }{2} = \frac{65}{32} }$

Therefore,

$\bold{2 < \frac{65}{32} < \frac{17}{8} < \frac{9}{4} < \frac{5}{2} < 3.}$

HOPE THIS HELPS YOU..