Question

Q2. Find three irrational numbers between
(i) -11 and -12 (ii) 11/4 and 13/5 (iii) √2 and √3

Answer 1

$\frac{11}{4} and \frac{13}{5} \\ \frac{55}{20} and \frac{52}{20}$

Answer 2

Answer:

(i) -11 and -12 : 2.6734637565....,  2.712245363...,  2.6953478356478...

(ii) 11/4 and 13/5 :2.6734637565....,  2.712245363...,  2.6953478356478...

(iii) √2 and √3 :1.53558634....,  1.6836375...,   1.66484648...

Step-by-step explanation:

Given three parts in which two number pairs are given

we have to find the irrational number between these pair of numbers.

Irrational numbers are those number which can not be written in the form of fraction. These are non-terminating and non-repeating.

(i) -11 and -12

The irrational numbers are

-11.12345356....,

-11.4475275....

-11.8775648655...

(ii) 11/4 and 13/5

2.75 and 2.6

The irrational numbers are

2.6734637565....

2.712245363...

2.6953478356478...

(iii) √2 and √3

1.414... and 1.732....

The irrational numbers are

1.53558634....

1.6836375...

1.66484648...

The above are non-terminating and non-repeating.