# How do you order the following from least to greatest without a calculator #0, -sqrt2, sqrt5, 13/4#?

##### 1 Answer

#### Explanation:

No calculators are being used in this answer I'm writing!

We have four numbers to order from least to greatest:

Let's first see that there is only one negative number - that has to be the smallest. And then there's 0, which is certainly smaller than the remaining two positive numbers, so we have so far:

So the question is now which of the two remaining numbers,

Let's estimate the value of each of these.

We know that

Is

We know that

With