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# The sum of a number, its cube root and square is 759. What is the number?

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The sum of a number, its cube root and square is 759. What is the number?

Guest Feb 1, 2015

#2
+85646
+5

So we have

N^2 + N + N^(1/3) = 759

Let's assume that the number we're looking for is an integer.

And let's first take the sq root of 759 = about 27.55

Then 759  is a little larger than 27^2

Let's test 27

27^2 + 27  + 27^(1/2) =

729 + 27 + 3  =

759

So.....27 is the integer we were looking for....

CPhill  Feb 1, 2015
Sort:

#2
+85646
+5

So we have

N^2 + N + N^(1/3) = 759

Let's assume that the number we're looking for is an integer.

And let's first take the sq root of 759 = about 27.55

Then 759  is a little larger than 27^2

Let's test 27

27^2 + 27  + 27^(1/2) =

729 + 27 + 3  =

759

So.....27 is the integer we were looking for....

CPhill  Feb 1, 2015

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