Prep question

[hnature0704]

The number 75 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integer?

a) 17
b) 16
c) 15
d) 14
e) 13

I understand that the prime number of 75 is 5+5+3 = 13 but what does it mean by "the sum of the "squares" of 3 different positive integers? Thank you so much.

[Rahul@gurome]

Perfect squares less than 75 are 1, 4, 9, 16, 25, 36, 49, and 64.
Now using hit and trial, 75 = 1 + 25 + 49
Sum of the 3 integers = 1 + 5 + 7 = 13

The correct answer is E.

[beat_gmat_09]

The number 75 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integer?

a) 17
b) 16
c) 15
d) 14
e) 13

I understand that the prime number of 75 is 5+5+3 = 13 but what does it mean by "the sum of the "squares" of 3 different positive integers? Thank you so much.

x^2+y^2+z^2 = 75
check for 3 different numbers whose sum of square of numbers i 75.
7,5,1. 7^2 + 5^2+1^2 = 49+25+1 = 75
7+5+1 = 13
Choose E