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

Which level of organization is represented by a bone in our body? tissue cellular organ system
What's the role of enzymes in seed germination?
is a cell phone measured in grams or kilograms
Draw a quick picture 143 divided by 11 equals 13
Many of the most important minor parties have been which kind of party
How do biological communities get to be the way they are?
In what ways did the views of W.E.B. DuBois and Booker T. Washington differ? Washington wanted a focus on liberal arts education, whereas DuBois felt the focus
The price of a pair of shoes is $45.90. The sales-tax rate is 5 percent. How much sales tax do you need to pay?
What is -3 and 5/7 expressed as an improper fraction?
Which cells undergo cell division? a. prokaryotic cells only b. eukaryotic cells only c. cancer cells only d. both prokaryotic and eukaryotic cells