Question

insert three rational numbers between √2 and √3​

Answer 1

Step-by-step explanation:

We know

Root 2 = 1.414

Root 3 = 1.732

Now, we can write n number of rational number between these. That is just greater than 1.414 and less than 1.732 and it should be terminating or not terminating but repeating.

➡ For example1.415659756, 1.416893, 1.715644

Answer 2

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Step by step solution:

$We \ have \ to \ find \ three \ rational \ numbers \ between \ \sqrt{2} \ and \ \sqrt{3}\\\\we \ know \ value \ of \ \sqrt{2}=1.14 \ and \ \sqrt{3}=1.73\\\\From \ this \ we \ have \ so \ many \ rational \ numbers \ but \ we \ need \ only \ three\\\\So \ three \ rational \ numbers \ between \ \sqrt{2} \ and \ \sqrt{3} \ are \ as\\\\1.14\leq our \ require \ rational \ number\geq 1.73\\\\Three \ rational \ numbers \ are \ 1.42,143,144....$

Hope it is clear to you