Find 3 irrational numbers between root 2 and root 3.
Irrational numbers are very important concepts that form the backbone of many other branches of mathematics. These are the subsets of real numbers, just like rational numbers. Let's solve a question related to irrational numbers.
Answer: The 3 irrational numbers between root 2 and root 3 are 1.575775777..., 1.4243443..., and 1.686977...
Let's understand the solution in detail.
Irrational numbers are those numbers that can't be represented in the form p/q, where q is not equal to zero.
We also know that the decimal form of irrational numbers can't be repeating and should be non-terminating.
We know that √2 = 1.414... and √3 = 1.732...
Keeping the above conditions in mind, we find the 3 irrational numbers between √2 and √3.
Note that we can have infinitely many irrational numbers between them. Here we will choose only three.
Therefore, the 3 irrational numbers between root 2 and root 3 can be 1.575775777..., 1.4243443..., and 1.686970...