Question

Find two rational numbers between irrational numbers 0.3434434443... and 0.3636636663...

Answer 1

Don't see all the digits, make it simple by attempting to take a look on the first few, for example here they are 0.343 and 0.363 so two rational ones between them are 0.35 & 0.36 
in the p/q form,
0.35=35/100=7/20
0.36=36/100=9/25

Hope it helped.

Answer 2

Answer:

Two rational numbers between irrational numbers 0.3434434443... and 0.3636636663... are 0.35 and 0.36

Step-by-step explanation:

Given irrational numbers  0.3434434443... and 0.3636636663...

To find,

Two rational numbers between the given two irrational numbers

Solution:

A rational number is a number that can be expressed in the form $\frac{p}{q}$, where  p and q are integers and q≠0 are rational numbers

All terminating decimals and all nonterminating recurring decimal numbers can be expressed in the form  $\frac{p}{q}$. Hence all terminating decimals and all non-terminating recurring decimals are rational numbers

We have, 0.3434434443...<0.35 < 0.36< 0.3636636663...

0.35 and 0.36 are two terminating decimals that lies between  0.3434434443... and 0.3636636663...

0.35 = $\frac{35}{100}$ and 0.36 = $\frac{36}{100}$

Since 0.35 and 0.36, can be expressed in form $\frac{p}{q}$, 0.35 and 0.36 are rational numbers

∴ Two rational numbers between irrational numbers 0.3434434443... and 0.3636636663... are 0.35 and 0.36

#SPJ2