brandonchiaht1owrm3z brandonchiaht1owrm3z
  • 24-09-2017
  • Mathematics
contestada

how do you find the smallest positive integer k such that 1350k is a perfect cube?

Respuesta :

Catya
Catya Catya
  • 24-09-2017
A cube is x*x*x
prime factor 1350
1350*k
5*270*k
5*3*90*k
5*3*3*30*k
5*3*3*3*10*k
5*3*3*3*2*5*k
what value does k have to be to have three of each prime factor?
k = 5*2*2 = 20

Then 1350*20 = 27,000 = (5*3*2)^3
Answer Link

Otras preguntas

x=5 2x+y=10 what would the coordinates be
give m an example of age problem
the number 6 is halfway between 2.8 and what?
Samantha was scanning photos she was scanned 123 but still has 296 left to scan how many pictures did she star with define a variable and write an equation so
What is the square root of a 1,000,000
what type of triangle must the hanger be to hang clothes evenly? The top part of the triangle is 110 degrees while the other equal sides are 35 Is it an obtuse-
On a math test, Johnny made a raw score of 95 on a 40 question test. The correct answers were given 5 points each while incorrect answers deducted 2 points eac
In what order did the following empires dominate Mesopotamia? A. Greek; Assyrian; Roman B. Persian; Roman; Babylonian C. Babylonian; Assyrian; Persian D. Persia
What is the price of one pound of bananas if 5 pounds cost 4.25
why are the temperatures fairly constant in the surface zone and the deep zone