Question

write the rational numbers between √2 &√3

Answer 1

WE KNOW THE ROOT OF 2 AND 3

ROOT 2 : 1.414
ROOT 3 : 1.732

NOW , WE CAN WRITE NUMBER OF RATIONAL NUMBER BETWEEN THESE . THAT IS JUST GREATER THAN 1.414 & LESS THAN 1.732 & IT SHOULD BE TERMINATING OR NOT TERMINATING AND REPEATING .

FOR EG : 1.415659756 , 1.416893 , 1.715644

I HOPE IT HELPS YOU
PLZ MARKED ME AS BRAINLIEST

Answer 2

Given : √2 and  √3​

To Find :  Rational number between √2 and  √3​

Solution:

Rational number between √2 and  √3​

2 = 8/4

3 = 12/4

√2  = √(8/4)      √3​ = √12/4

√(8/4)  <  √9/4   <  √12/4

=> √2   < √9/4   <  √2

=> √2   < √(3/2)²   <  √2

=> √2   <  (3/2)    <  √2

Hence 3/2 is a rational number between √2 and  √3​

However there exist infinite many rational number between 2 distinct irrational numbers

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