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What is the sum of the squares of the first 5 prime numbers?
88
What is the sum of the first 5 numbers squared?
The question is ambiguous.Does it want the sum of the squares, or the square of the sum ? They're different.Here are both:1). Sum of the squares: . (1)2 + (2)2 + (3)2 + (4)2 + (5)2 = 1 + 4 + 9 + 16 + 25 = 552). Square of the sum: . (1 + 2 + 3 + 4 + 5 )2 = (15)2 = 225
What is the number of perfect squares that exist in base 5 system?
There are infinitely many, just like in base 10. In any base system, the number of perfect squares is the same. Take the natural (counting) numbers 1, 2, 3, .... Squaring each of these produces the perfect squares. As there are an infinite number of natural numbers, there are an infinite number of perfect squares. The first 10 perfect squares in base 5 are: 15, 45, 145, 315, 1005, 1215, 1445, 2245, 3115, 4005, ...
The sum of the squares of two consecutive positive numbers is 61. What is the number?
There is no single number here. The two seed numbers are 5 and 6; their squares sum to 61.
What two numbers have a sum of 9 and the sum of their squares is 41?
4 and 5 4 + 5 = 9 42 + 52 = 16 + 25 = 41
