Question

1.a rational no between 3 and 4 is
a.3/2
b.4/3
c.3/10
d.4/10
2.which one of the following is in irrational no.
a.√4
b. 3√8
c.√100
d.-√0.64
d​

Answer 1

1. Let the two given numbers be a and b respectively a= 3 and b=4

We know that the rational number between a and b is given by (a + b)/2

So the rational number between 3 and 4 = (3+4)/2 = 7/2

Then, Rational number between 3 and 7/2 =[3+(7/2)]/2 = 13/4

Then Rational number between 13/4 and 3 =[(13/4) + 3]/2 = 25/8

Then Rational number between 4 and 7/2 =[4+(7/2)]/2 = 15/4

Then Rational number between 13/4 and 4 =[(13/4) + 4]/2 = 29/8

Hence the five rational numbers between 3 and 4 are 7/2, 13/4, 25/8, 15/4, and 29/8

2.3√8