rania2009princess
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  • 12-09-2020
  • Mathematics
contestada

Find the square root of 1764 using prime factorization with explanation and solution.

Respuesta :

jimrgrant1 jimrgrant1
  • 12-09-2020

Answer:

42

Step-by-step explanation:

The product of the prime factors of 1764 is

1764 = 2² × 3² × 7² , thus

[tex]\sqrt{1764}[/tex]

= [tex]\sqrt{2^{2}(3^{2} )(7^{2} ) }[/tex]

= [tex]\sqrt{2^{2} }[/tex] × [tex]\sqrt{3^{2} }[/tex] × [tex]\sqrt{7^{2} }[/tex]

= 2 × 3 × 7

= 42

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