jiaying jiaying
  • 02-01-2017
  • Mathematics
contestada

Given that 196k is a perfect cube , find the smallest possible value of k

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 02-01-2017
factor 196k
196k=2*2*7*7*k
we need to get something like x^3
hmm
we right now have
(2*7)^2
if we multiply that by (2*7)^1, we can beg (2*7)^3,
therefor k=2*7=14

tha tnumber is 14

or

if k can be any number
k can be 1/196, to make it 1, and 1 is a perfect cube

or

my bro had an epic idea: what if k is negative
the cube root of a negative number is negative
so the smallest one would be negative infinity or something



I think the answer you're looking for is k=14
Answer Link

Otras preguntas

Help me With this math problem
A local hamburger shop sold a combined total of 601 hamburgers and cheeseburgers on Friday. There were 51 more cheeseburgers sold than hamburgers. How many ham
if SQ=11x-26 and PR=5x+28,find PR.
What types of subjects did public high schools in the 1900s emphasize and why
What event started the space race and made Americans feel their security was threatened A.) Alan Shepard's suborbital flight. B.) the launch of sputnik C.) the
Which statement best compares the use of imagery and color in the poem and artwork to portray the woman? Her hair is black with hints of red, the color of seaw
(50 points!!) Mrs. Julien’s and Mrs. Castillejo’s classes are selling cookie dough for a school fundraiser. Customers can buy packages of macadamia nut chip coo
Why must governments be able to compromise?
Write the ratio as a fraction in lowest terms 1 1/3 to 1 2/3
What is the answer to the question 5x+2x