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7. Encuentre las raíces aplicando la descomposición de factores primos:

a. √√8
b. √625
c. √144

User Notmystyle
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Final answer:

To find the square root of a number using the prime factorization method, you factorize the number into its prime factors and simplify the square root based on the exponent of each prime factor.


Step-by-step explanation:

a. To find the square root of 8, we can factorize 8 into its prime factors: 8 = 2 × 2 × 2. Therefore, √√8 = √(2 × 2 × 2) = 2√2.

b. To find the square root of 625, we can factorize 625 into its prime factors: 625 = 5 × 5 × 5 × 5. Therefore, √625 = 5 × 5 = 25.

c. To find the square root of 144, we can factorize 144 into its prime factors: 144 = 2 × 2 × 2 × 2 × 3 × 3. Therefore, √144 = 2 × 2 × 3 = 12.


Learn more about Solving square roots using prime factorization

User Adray
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