Question

Find five irrational numbers between 2/5 and 3/5

Answer 1

Answer:

2/5=0.4

3/5=0.6

An Irrational number is non terminating and non repeating

0.10100100010000....

0.120120012000120000....

0.350350035000350000....

0.410410041000410000....

0.560560056000560000....

Hope it helps you!

Answer 2

We have been asked to find 5 irrational numbers between $\tt{\dfrac{2}{5} and\ \dfrac{3}{5}}$.

Irrational numbers :

• Numbers that cannot be written in p by q form.
• They are non terminating i.e the quotient never ends
• They are non recurring i.e the digits in the quotation are never repeating.

To find two irrationals between two given fractions ; we need to follow the given steps :

1. Simplify the fractions
2. After simplification ; we can take any numbers that lie between the two numbers we have got.

Following the information above ; we will solve the given problem.

$\longrightarrow{\tt{ \dfrac{2}{5}}}$

$\longrightarrow{\tt{\cancel{\dfrac{2}{5}} \implies 0.4}}$

$\longrightarrow{\tt{\dfrac{3}{5}}}$

$\longrightarrow{\tt{\cancel{\dfrac{3}{5}} \implies 0.6}}$

Now , we can take any numbers ranging from 0.4 to 0.6 with respect to the fact that we have to take numbers that are non recurring.

Eg :

1. 0.4173748957439384
2. 0.53728299284878
3. 0.491637383486273940571
4. 0.5918262737
5. 0.5263894944
6. 0.5374748849