Question

Question #a03e0

Answer 1

Between `6` and `7`.

Explanation:

If you meant what two consecutive integers `2sqrt10`is between at, let's think of it this way.

Let the two integers be `x` and `y`. We can say that:

`x <2sqrt10< y`

We square all of them.

`x< 2sqrt10 < y`

=>`x^2 < (2sqrt10)^2 < y^2`

=>`x^2 < 4*10 < y^2`

=>`x^2 < 40 < y^2`

We ask ourselves: What two perfect squarse is 40 between at?

Let's see...
`1,4,9,16,25,36,49...` Aha! `x^2=36` and `y^2=49`

Since `2sqrt10` is positive, it is between `6` and `7`.