Put in order from smallest to largest

12
6 square root 5
20
9 square root 6
16 square root 7
5
-48
11
8 - square root 3 -60
5/6
2 square root 5/5
- square root 3 +2/5
The square root us confusing my son. Thanks so much

square roots are easy in most cases but this one is a little bit harder a square root is half of a number like

the square root of 546 is 23.36664289109

so just remember you can do this anytime like

9 square root 3

25 square root 5

so just figure out half the number

So would it be:

8 - sq rt 3 -60
-48
- sq rt 3 +2/5
5
11
12
6 sq rt 5
20
9 sq rt 6
16 sq rt 7
5/6
2 sq rt 5 /5
Thanks

correct your welcome

To put the given numbers in order from smallest to largest, we need to compare their values. Here's the step-by-step process to compare the numbers:

1. Start by comparing the whole numbers and integers without square roots.
- The given numbers without any square roots are: 12, 20, 5, -48, 11.
- The order of these numbers from smallest to largest is: -48, 5, 11, 12, 20.

2. Next, compare the numbers with square roots.
- We have the following numbers with square roots: 6√5, 9√6, 16√7, 8 - √3 - 60, 5/6, 2√(5/5), -√3 + 2/5.

To compare the square root values, consider the following tips:
- Square roots can be simplified or approximated.
- Square roots can be converted into decimal numbers for easier comparison.

Let's compare the square root values in both forms:

- Simplifying Square Roots:
- √5 is an irrational number, so it cannot be simplified further.
- √6 is also irrational and cannot be simplified.
- √7 is irrational as well and cannot be simplified.
- √(5/5) = √1 = 1.

- Decimal Approximation:
- To compare square roots using decimal approximations, we can use a calculator or estimation:
- √5 ≈ 2.236
- √6 ≈ 2.449
- √7 ≈ 2.646

Now let's compare the square root values:

- Comparing the Simplified Square Roots:
- We have: 6√5, 9√6, 16√7, 8 - √3 - 60, -√3 + 2/5.
- The order from smallest to largest (simplified) is as follows:
- 8 - √3 - 60
- -√3 + 2/5
- 6√5
- 9√6
- 16√7

- Comparing the Decimal Approximations:
- We have: 6√5, 9√6, 16√7.
- The order from smallest to largest (decimal approximations) is as follows:
- 6√5 ≈ 13.416
- 9√6 ≈ 22.041
- 16√7 ≈ 26.794

Now, let's combine the results of comparing both the whole numbers and the square roots:

The final order from smallest to largest is:
- 8 - √3 - 60, -√3 + 2/5, 6√5, 9√6, 16√7, -48, 5/6, 5, 11, 12, 20.

Please note that the decimal approximations provided are rounded for simplicity and may not be completely precise.