Question

find an irrational number between 3^1/2 and 5^1/2​

Answer 1

Step-by-step explanation:

First you have to convert 1/2 and 3/5 into like fraction

.

1/2 = 1*5/5*2 =5/10

.

3/5= 3*2/5*2 =6/10

.

Now you can see that it is difficult to find 3 rational numbers between 5/10 and 6/10 , So you have to find the other equivalent fractions of 5/10 and 6/10

.

5/10 =5*4/10*4= 20/40

6/10=6*4/10*4 =24/40

So you can see that 20/40 is equivalent to 1/2 and 24/40 is equivalent to 3/5 .

So 3 rational numbers between 1/2 and 3/5 are 21/40 , 22/40 and 24/40.