The sums of the squares of three related numbers is also a perfect square – can you explain why?
We are first given that:
x1=2²+3²+6²
x2=3²+4²+12²
x3=4²+5²+20²
Then show that xₙ is always a perfect square.
Age 14 to 16
Menu
The sums of the squares of three related numbers is also a perfect square – can you explain why?
We are first given that:
Then show that xₙ is always a perfect square.
Age 14 to 16
SciTech Institute is a nonprofit organization dedicated to enhancing and promoting STEM education and awareness in Arizona and beyond. It works to achieve this through some of the strongest STEM initiatives in Arizona, including the Arizona SciTech Festival, the Chief Science Officers program, the RAIN grant, the Arizona STEM School Community of Practice, Science For All and more.
SciTech Institute
1438 W. Broadway Rd., Ste 101
Tempe, AZ 85282
SciTech Institute is a collaborative initiative with the Arizona Commerce Authority and the Arizona Technology Council Foundation.