what eqauls to 31.25
![what eqauls to 3125 class=](https://us-static.z-dn.net/files/d7c/9f6789def800bc6785cf2985bf65fc24.jpg)
125 = 5^3 = 25 * 5
[tex] 4 \cdot \sqrt{125} = 4 \sqrt{25 \cdot 5} = 4 \cdot 5 \sqrt{5} = 20\sqrt{5} [/tex]
The simplification you are trying to do involves finding the prime factorization of a number. Since 125 is not divisible by 2, move on to 3. 125 is also not divisible by 3, so move on to 5. Then 125/5 = 25, and 25/5 = 5, so 125 = 5^3. The prime factorization of 125 is 5^3.
√125 = 25 x 5
25 = 5 x 5
two of the same numbers within a root can be take out to become a whole number
5√5 is simplified form
5 x 4 = 20
20√5 should be your total answer
hope this helps