Question

find 1 rational and 1 irrational number between root 3 and root 5

Answer 1

To find an rational number between 3^2 and 5^2 square both the numbers.

Square of root 3= 3 and square of root 5=5 .

Now we got 3,5 which are rational.Formula to find rational number is

(a+b)/2

Take a=3 and b=5

(3+5)/2

=8/2

=4

Now find the root of 4

Root of 4=2

Hence 2 is a rational number between root 3 and root 5


We know that irrational numbers can't be represented in the from of p/q also which are no repeating.

root(3) = 1.732
root(5) = 2.236

So,irrational numbers between root 3 and root 5 are

1.798779 , 2.0100, 2.1212

Answer 2

Answer:

rational number is √4 = 2.

irrational number is √3.5