Question

insert five irrational number between 2√5 and 3√3

Answer 1

Given:

Two irrational number are 2√5 and 3√3.

To Find:

Insert five irrational number between 2√5 and 3√3

Solution:

First write both number:

2√5    ,                ,                ,              ,                  ,                   ,    3√3

On square the all number, we get:

20    ,                ,                ,              ,                  ,                   ,    27

Put number between 20 and 27, except 25. Because square root of 25 is not irrational number:

20    ,   21        ,       22      ,      23      ,        24      ,        26       ,    27

Now taking square root of all number:

√20    ,  √21      ,   √22    ,    √23    ,      √24    ,     √26     ,    √27

2√5    ,  √21      ,   √22    ,    √23    ,      √24    ,     √26     ,     3√3

We got irrational number between 2√5 and 3√3 are √21, √22, √23, √24, √26