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

Why did the British participate in the Crimean War?
Which is NOT a factor that affects teenagers' ability to resist peer pressure and stand up for their own values? how high or low their self-esteem is the nature
Which of the following Cold War practices likely had the most significant psychological impact on citizens?
John Locke is associated with this major political theory of government.
How do organisms store and use energy?
Show some pictographic sentence that describes a phrase often assiocated with Hammurabi
Since 1900, the most important influence on 1 has been _____. amelioration pejoration technology 7
What's the answer witch ones r composite 14 15 16 17 18 19 20 21
is this correct ? .......................
What is the next number? 2, 7, 26, 101, 400, ?