Question

Please help another assignment I’m not very good at math !!

Answer 1

Prime Factorization of 576

`576=2* 2* 2* 2* 2* 2* 3* 3`

Prime Factorization of 64

`64=2* 2* 2* 2* 2* 2`

The Expression in simplest form is

`\sqrt{(576)/(64) }=(3)/(1)`

Explanation:

Simplify:

`\sqrt{(576)/(64) }`

Now,

Prime Factorization of 576

`576=2* 288\\576=2* 2* 144\\576=2* 2* 2* 72\\576=2* 2* 2* 2* 36\\576=2* 2* 2* 2* 2* 18\\576=2* 2* 2* 2* 2* 2* 9\\576=2* 2* 2* 2* 2* 2* 3* 3`

Prime Factorization of 64

`64=2* 32\\64=2* 2* 16\\64=2* 2* 2* 8\\64=2* 2* 2* 2* 4\\64=2* 2* 2* 2* 2* 2`

Now,

`\sqrt{(576)/(64) }=\sqrt{(2* 2* 2* 2* 2* 2* 3* 3)/(2* 2* 2* 2* 2* 2) }\\ \sqrt{(576)/(64) }=\sqrt{(3* 3)/(1)}\\\therefore \sqrt{(576)/(64) }=3`

The Expression in simplest form is

`\sqrt{(576)/(64) }=(3)/(1)`