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

what development occurred in Germany as a result of the terms of the treaty of Versailles
Which early civilization built towering ziggurats and kept records in cuneiform? A) Mesopotamia B) China C) Egypt D) Indus Valley
2. Choose the expression which gives directions in town: un musée s’il te plait. demander tourner à droite 3. Select the right preposition to complete the s
Robert E. Lee brought his Confederate forces into the North just before the battle of Gettysburg in hopes of A. taking new york city. B. escaping a union army t
What is the most favored color?
Someone please help me with this math question!
the energy released when sugar molecules are broken down is stored in
Alred Noyes, "The Highwayman" is an example of which type of poem lyric ballad epic limerick
What Chinese dynasty was considered the great age of poetry, in which The Complete Tang Poems was published? a. Sui b. Tang c. Song d. Yuan
What's 700,000 in scientific notation