Question

Insert 3 irrational numbers between 3 root 2 and 2 root 3

Answer 1

Answer:

3 root 2 =4.2426.....

2 root 3 =3.4641....

so we can write irrational numbers greater then 3.4641.. and smaller then 4.2426...

so the irrational numbers are= 3.462483587858,3.964457585 and 3.123456789.

Step-by-step explanation:

I hope it will help yiu

Answer 2

Three irrational numbers between $3\sqrt2$ and $2\sqrt{3}$ are $\sqrt{13},\sqrt{14},\sqrt{15}$.

Step-by-step explanation:

To find : Insert 3 irrational numbers between $3\sqrt2$ and $2\sqrt{3}$ ?

Solution :

First we square the numbers,

$(3\sqrt2)^2=18$

$(2\sqrt3)^2=12$

The number between 12 and 18 are 12 < 13,14,15,16,17 <18

The number which are not whole square are 13,14,15,17.

Taking root to the numbers $\sqrt{13},\sqrt{14},\sqrt{15},\sqrt{17}$.

Three irrational number between $3\sqrt2$ and $2\sqrt{3}$ are $\sqrt{13},\sqrt{14},\sqrt{15}$.

#Learn more

Insert 5 irrational number between 2 root 5 and 3 root 3

https://brainly.in/question/7810457