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For how many real values of x is sqrt(120 - sqrt(x)) an integer?

 Feb 20, 2018
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Solve for x:

sqrt(120 - sqrt(x)) = 0

 

Square both sides:

120 - sqrt(x) = 0

 

Subtract 120 from both sides:

-sqrt(x) = -120

 

Multiply both sides by -1:

sqrt(x) = 120

 

Raise both sides to the power of two:

x = 14,400

 Feb 20, 2018

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