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

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

Respuesta :

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.

Answer Link

Otras preguntas

what is special about nitrogen, and what is its main function in the atmosphere
if the perimeter is 72 inches,what is the area of the poster
Sonia was given a bouquet of flowers for valentines day 2/3 of the flowers were roses and 1/3 of them were tulips. If there were 8 roses how many tulips were in
How many soldiers were killed, wounded, or missing in this battle? (How many casualties were there?)
What kind of animals live in Antarctica?
what figure of speech is the saying: The sun played hide and seek with the clouds. a. Personification b. Metaphor c. Hyperbole d. Simile
Three of four numbers have a sum of 22. If the average of the four numbers is 8, what is the fourth number ?
restrict a. open b. to limit c. every year d. wide open
a sample of concentrated nitric acid has a density of 1.41g/ml and contains 70.0% HNO3 by mass. what mass of HNO3 is present per liter of solution.
Vicki puts 10 books on a shelf.The 10 books take up 28 centimeters.What is the mean (average) thickness of her books?= 2.8 cmThe shelf is 120 centimeters long.V