Question

Find 2 irrational numbers between 2/5 & 3/4.​

Answer 1

Step-by-step explanation:

Question :

$➝ \: find \: two \: rational \: number \: between \: \frac{2}{5} and \frac{3}{4}$

Explanation :

let the two rational number are ➝ x and y

$x = > \frac{1}{2} ( \frac{2}{5} + \frac{3}{4}) \\ \: \: \: \: = > \frac{1}{2} ( \frac{8 + 15}{20} ) \\ = > \frac{1}{2} \times \frac{25}{20} \\ = > \frac{25}{40}$

AND ,

$y \: = > \: \frac{1}{2} ( \frac{25}{40} + \frac{3}{4}) \\ = > \frac{1}{2} ( \frac{25 + 30}{40}) \\ = > \frac{1}{2} \times \frac{55}{40} \\ = > \frac{55}{40}$

hence,

Two rational number between 2/5 & 3/4 are =>

25/40 nd 55/40

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Additional information :-

We can find infinite rational number between any to rational number.

we can do it as =>

let's suppose we have to find rational number between x and y .

so, we can do it as ➝

1/2 (x+y)

then we found a number , then again ,

let suppose we find a rational number A in this,

so next,

we will multiply A and y sum by 1/2 and so on ,

we can find infinite rational number.