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klasskru [66]
3 years ago
9

Is 1298 a perfect square, perfect cube or neither? Prove using prime factorization.

Mathematics
1 answer:
djyliett [7]3 years ago
5 0

Answer:

Neither

Step-by-step explanation:

1298 = 2 x 11 x 59

<u>Checking if it is a perfect square. </u>

<u></u>\sqrt{1298} = \sqrt{2 \times 11 \times 59 }<u></u>

Clearly, 1298 is not a perfect square.

<u>Checking if it is a perfect cube.</u>

<u></u>\sqrt[3]{1298}  =  \sqrt[3]{2 \times 11 \times 59}<u></u>

Clearly, 1298 is not a perfect cube.

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