determine the number of integer 1≤x≤2010 such that the expressions
![\sqrt[3]{x + (x + 8) \sqrt{x - 1 \div 27} } - \sqrt[3]{x - (x + 8) \sqrt{x - 1 \div 27} }](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7Bx+%2B+%28x+%2B+8%29+%5Csqrt%7Bx+-+1+%5Cdiv+27%7D+%7D++-++%5Csqrt%5B3%5D%7Bx+-+%28x+%2B+8%29+%5Csqrt%7Bx+-+1+%5Cdiv+27%7D+%7D+ "\sqrt[3]{x + (x + 8) \sqrt{x - 1 \div 27} } - \sqrt[3]{x - (x + 8) \sqrt{x - 1 \div 27} }")
iis a rational number
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yes it is a rational number !!!!
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