The prime factor of the 576 is [tex]2^6 * 3^2[/tex] and the prime factor of the 64 is [tex]2^6[/tex]. And the expression [tex]\sqrt{\dfrac{576}{64}}[/tex] is equal to 3.
Simplification is to make something easier to do or understand and to make something less complicated.
Given
The expression is [tex]\sqrt{\dfrac{576}{64}}[/tex]
The prime factor of the 576 will be
[tex]576 = 2^6 * 3^2[/tex]
The prime factor of the 64 will be
[tex]64 = 2^6[/tex]
Then the expression will be
[tex]\sqrt{\dfrac{576}{64}} = \sqrt{\dfrac{2^6 * 3^2}{2^6}}\\\\\sqrt{\dfrac{576}{64}} = \sqrt{3^2}\\\\\sqrt{\dfrac{576}{64}} = 3[/tex]
More about the simplification link is given below.
https://brainly.com/question/12616840
