helium helium
  • 03-03-2018
  • Mathematics
contestada

Find the smallest value of k if 264k is a perfect square

Respuesta :

jcherry99
jcherry99 jcherry99
  • 03-03-2018
Try factoring this first.
264k = 132*2k = 11*12*k = 11*3*2*2*k 
To get a perfect square, you are going to have to have an even number of prime factors. 
You have one 11 and one 3. You are going to have to do something about those two.
k = 11 * 3 <<<<< ======= answer.

Now put that into 264k and you get 11 * 3 * 2 * 2 * 11 * 3 which is a perfect square. 11^2 * 3^2 * 2^2 = 4356

The square root of 4356 = 66 
4356 is a perfect square when 33 = k.

Answer Link

Otras preguntas

Explain why animals must eat food, but plants do not have to.
compare the air pressure at the peak of Mt. Everest to the air pressure at sea level.
a single molecule has at least how many atoms
rachel told mariana that if she rolls two number cubes 100 times she will never get a product of 23 mariana toldbher that she cant be sure. whos right? explain
What is the answer to 7n-2(n+5)< 3n-16
what country did hernando de soto work for?
compare the air pressure at the peak of Mt. Everest to the air pressure at sea level.
how are continents and tectonic pates related
compare the air pressure at the peak of Mt. Everest to the air pressure at sea level.
The ratio of women to men in the theater was 5 to 4. If there are 1200 women, how many men were there?