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Problem Solving (PS) | Re: The square root of integer x is equal to the sum of the cubes of y and

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Bunuel wrote:

The square root of integer x is equal to the sum of the cubes of y and z. If the squares of y and z are each less than 10, what is the greatest possible value of x?

A. 2916
B. 3981
C. 3982
D. 3999
E. 4000



Hi...
Let the values be √10 each. here the values will be just LESS than 10, so our ACTUAL answer will be slightly less than the answer we get here
So sum of cubes is\(2*10^{\frac{3}{2}}\)
Square of this is\(4*10^3=4000\) ..

But the actual ans will be slightly LESS than 4000 and an integer..
So 3999
D
...

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