Respuesta :

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

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