Question

Insert two irrational no. between underroot 3 and underroot 7

Answer 1

We know that

√3 = 1.73205081...

And

√7 = 2.645751...

So we can insert many irrational numbers between them .

Some of the irrational numbers between them are = 1.81811811181111... , 1.91911911191111...

Answer 2

Firstly let us understand what is irrational number ?

well, Any number which cannot be represented in the form of $\frac{p}{q}$

Now,

Move towards your question ➡

question=) Insert two irrational no. between

$\sqrt{3}$ and $\sqrt{7}$

Solution:

$\sqrt{3}$ = 1.73205080....

$\sqrt{7}$ = 2.64575131106..

There can be many infinite irrational numbers between 1.73205080.. and 2.64575131106..

Such as -

1.80800800080000... , 1.747447444....

1.92192219222.....

Note: There should not be a series of same numbers. As I have written above,

1.808008000... you can clearly see the difference in numbers.

Don't forget to put the ..... sign at the end.

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Thanks