The sum of the squares of two positive numbers is 9,so how much will the sum of their cubes be??

1 Answer
May 24, 2018

Answer:

#27#

Explanation:

#x^2+y^2=9#

What squares can add up to 9?

#0 + 9 =sqrt 0 + sqrt3# Works!
#1 + 8# Neither are perfect squares
#2 +7# Neither are perfect squares
#3 +6# Neither are perfect squares
#4 +5# Neither are perfect squares
now repeats...

so only #0^2+3^2# works

#0^3+3^3 = 27#