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Artist 52 [7]
3 years ago
12

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

Mathematics
1 answer:
musickatia [10]3 years ago
4 0

Answer:

42

Step-by-step explanation:

The product of the prime factors of 1764 is

1764 = 2² × 3² × 7² , thus

\sqrt{1764}

= \sqrt{2^{2}(3^{2} )(7^{2} ) }

= \sqrt{2^{2} } × \sqrt{3^{2} } × \sqrt{7^{2} }

= 2 × 3 × 7

= 42

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