Question

Write rational number between root 3 and root 10

Answer 1

Answer:

By ‘root’, I take it you mean the principal square root.

3–√≈1.7320508076

5–√≈2.2360679775

The problem with using approximate ranges is, if you’re not careful, you will take a value outside of the range. So, let’s limit our range by rounding the lower bound up to 1.732050808 and the upper bound down to 2.236067977

Now, all we need do it find three rational numbers in the interval [1.732050808,2.236067977]

I’ll make it easy on myself, I’ll choose 1.732050808, 2.236067977 and 2