# Square Root of a Sum ? - Geometric Interpretation

We know that for non-negative numbers . Can we apply the same for the sum?
In the example below and are the legs of a right triangle. According to the Pythagorean Theorem the hypotenuse is .
Drag to the left the blue point to rotate the leg around point until the two legs form one segment.
Drag to the left the orange point to rotate the hypotenuse around point until it comes to the base of the triangle.
Compare the lengths and

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