The number 11 can be written as the sum of the square roots of four

Question

The number 11 can be written as the sum of the square roots of four different positive integers. What is the sum of these positive integers?

A. 37
B. 39
C. 41
D. 46
E. 54

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inciduntprovident · Answer

All you need to know is that the set of the square root of positive integers is equal to the set of positive integers

msignatius · Answer

What 4 positive numbers even add to 11, firstly?

1, 2, 3, 5. There aren't any others. Remove the 3 and the add the 4, and you're up to 12. Remove the 5 and add the 4, and you're down to 10.

Square these numbers 1^2 = 1.
2^2 = 4
3^3 = 9
5^2 = 25

Add them together - 1 + 4 + 9 + 25. Get 39.  Mark B.

Dereno · Answer

11 = sqrt a+ sqrt b + sqrt c + sqrt d

given that a, b,c,d are positive integers >0.

Sum of 1+2+3+4 gives 10.

Then, the sum of 1+2+3+5 = 11. No other combination works for it.

If, square root of a = 1, then a = 1

If, Square root of b = 2, then b = 4

If, Square root of c = 3, then c = 9

If, Square root of d= 5, then d = 25.

Then, a+b+c+d = 1+4+9+25 =  39

Option B

ajain31 · Answer

I tried 1-5 and got 39, i would go with B

ExpertsGlobal5 · Answer

Explanation:

https://www.youtube.com/watch?v=wm3ABYjXRxk

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