vaniakhan1287
vaniakhan1287 vaniakhan1287
  • 14-10-2021
  • Mathematics
contestada

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

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sreedevi102
sreedevi102 sreedevi102
  • 14-10-2021

Answer:

Neither

Step-by-step explanation:

1298 = 2 x 11 x 59

Checking if it is a perfect square.

[tex]\sqrt{1298} = \sqrt{2 \times 11 \times 59 }[/tex]

Clearly, 1298 is not a perfect square.

Checking if it is a perfect cube.

[tex]\sqrt[3]{1298} = \sqrt[3]{2 \times 11 \times 59}[/tex]

Clearly, 1298 is not a perfect cube.

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