Question

Find two rational no. between
$\sqrt{2} \: and \: \sqrt{3}$
I'll mark them brainlist who will give correct answer

Answer 1

What are the approximate decimal values of √2 and √3?

√2 ≈ 1.414

√3 ≈ 1.732

We're familiar with these ones.

We can take them approximately as,

1.414 ≈ 1.4

1.732 ≈ 1.7

From these, we get that the rational nos. 1.5 and 1.6 lie between them. Thus we got two answers.

The approximate values of √2 and √3 can again be taken approximately as,

1.414 ≈ 1.41

1.732 ≈ 1.73

From these two, we get many rational numbers as the following:

1.42, 1.43, 1.44, 1.45, 1.46, 1.47, 1.48, 1.49. 1.5, 1.51, 1.52, 1.53, 1.54, 1.55, 1.56, 1.57, 1.58, 1.59, 1.6, 1.61, 1.62, 1.63, 1.64, 1.65, 1.66, 1.67, 1.68, 1.69, 1.7, 1.71, 1.72

Okay, consider 1.414 and 1.732.  We get too many rational numbers from these.  According to the above methods, we get 317 rational numbers.

Answer 2

Answer:

Step-by-step explanation:

1.5 AND 1.6 are two rational  numbers between √2 and √3