The expression square root of 576/64 in simplest form is

The calculation is:   [tex] \sqrt{ \frac{576}{64} } = \sqrt{9} = 3[/tex]

I see you have doubts, so I will explain each step.

Step 1: simpliy 576 / 64. In this case when you divide 576 by 64 you get 9 that is a whole number, so that is its simplest form.

Step 2: Calculate the square root of 9, which is 3.

If you use a simple calculator you will obtain that, but the square root of 9 is a calculation that you should know by  yourself.

Remember that the square root a number N is the number that multiplied by itself results in the number N. For example the squere root of 4 is 2, because 2 times 2 is 4. So, the square root of 9 is 3 because 3 times 3 is 9.

It will be very helpful for you to learn the 12 first squares because with that you will be able to tell the square roots of the most elemental numbers:

1^2 = 1 => √1 = 1

2^2 = 4 => √4 = 2

3^2 = 9 => √9 = 3

4^2 = 16 => √16 = 4

5^2 = 25 => 25 = 5

6^2 = 36 => √36 = 6

7^2 = 49 => √49 = 7

8^2 = 64 => √64 = 8

9^2 = 81 => √81 = 9

10^2 = 100 => √100 = 10

11^2 = 121 => √121 = 11

12^2 = 144 => √144 = 12