MHB What is the Difference of Two Squares in this Expression?

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is this a difference of two squares?

$\displaystyle x^{\frac{1}{4}}-y^{\frac{1}{4}}$
 
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Yes, if you write it as:

$$\left(x^{\frac{1}{8}} \right)^2-\left(y^{\frac{1}{8}} \right)^2$$
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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