x to the power (3/2), or x1.5.
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Its the square root of 2 times x Ambiguous. More clear is x times square root of 2
SQRT(X) * SQRT(X) = X
It seems to be 25. Call your number "x". x = 5 square root of (5 square root of (5 ...) Square it; this will eliminate the outermost square root sign: x squared = 25 times 5 square root of (5 square root of (... Dividing the second equation by the first one, you get: x squared / x = 25 x / x x = 25
729 does not have "a square root of 3 times 3 times 3 times 327" so the question does not arise. 729 is a square number with a square root of 3 x 3 x 3 because (3 x 3 x 3) x (3 x 3 x 3) = 729
The derivative of cos x is -sin x, the derivative of square root of x is 1/(2 root(x)). Applying the chain rule, the derivative of cos root(x) is -sin x times 1/(2 root(x)), or - sin x / (2 root x).