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Well, darling, the square root of x to the 8th power is x to the 4th power. It's like cutting a cake into 8 equal pieces and then taking the square root to get 4 pieces. Simple math, just like how I like my martinis – straight to the point.
the square root of x8 is x4
sqrt(100x4y4) = sqrt(100)*sqrt(x4)*sqrt(y4) = 10*x2*y2
Do the multiplication, then take the square root. After the multiplication, you get 28x4y2. The square root of 28 is 2 times the root of 7, the square root of x4 is x2, and the root of y2 is y. So, the final result is 2 times square root of 7, times x2y.
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