ishamaqsood13
ishamaqsood13 ishamaqsood13
  • 25-08-2021
  • Mathematics
contestada

find the square root of the following by prime factorization method.









4225​

Respuesta :

caylus
caylus caylus
  • 25-08-2021

Answer:

[tex]\boxed{=65}\\[/tex]

Step-by-step explanation:

[tex]\begin{array} {c|c}4225&5\\845&5\\169&13\\13&13\\1\\\end{array}\\\\\\4225=5^2*13^2\\\\\sqrt{4225} \\\\=5^{\frac{2}{2} }*13^{\frac{2}{2} }\\\\=5*13\\\\\boxed{=65}\\[/tex]

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ang12321 ang12321
  • 25-08-2021
4225=5×5×13×13
4225=(5×13)×(5×13)
4225=65×65
4225=65²
√4225=65

Hope my answer helped u :)
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