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

factor the following trinomial by grouping 9x^3+30x^2+24x
which fraction is equivalent to 9/13
Which of the following is NOT a type of wellness? A. spiritual B. social C. spacial D. mental
In a federal system, political power is shared. What are the benefits of this sharing?
every food chain & food web transfers -- A radiant energy B chemical energy C producers D decomposers
What Supreme Court case did George W. Bush support the reversal of? A. Brown v. the Board of Education B. Miranda v. Arizona C. Bush v. Gore D. Roe v. Wade
how do you write 6/10 as a hundredths in fraction form and decimal form
Please do #1 on each. Please show your work. If you don't know DON'T ANSWER. If you need to ask me questions please use Ask for Details.
When is a federal system
Help me plz! |9 -5| - |6 - 8| = A. -6 B. -2 C.2 D.6