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Is 5184 a perfect square

Updated: 4/28/2022
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13y ago

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Yes. 72 x 72 = 5184.

You use prime factorization. The prime factorization of 5184 is 2^6 x 3^4 or

2^2 x 2^2 x 2^2 x 3^2 x 3^2

Take the square root = 2 x 2 x 2 x 3 x 3 = 72

Small note: ^ indicates a power.

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13y ago
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Q: Is 5184 a perfect square
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What is the square root of 5184?

72


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(a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184


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With perfect squares the number is usually easier to guess and check than calculate, as calculating is a much longer and more complicated process known to few. Guessing and checking may also involve breaking the perfect square down into smaller squares, such as sqrt(5184)-->sqrt(9*576)-->3*24=72, which is also done in large part by conjectures. Squares to about 25 are useful and easy to memorize, as are the cubes of up to about 10.


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