What is sqrt(x(1+\sqrt{x))} ?

The solution to sqrt(x(1+\sqrt{x))} is sqrt(x)sqrt(1+\sqrt{x)}

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simplify sqrt(x(1+\sqrt{x))}

simplify

x (1 + x)

x 1 + x

Solution steps

x (1 + x)

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x (1 + x) = 1 + x x

= 1 + x x

= x 1 + x

e^{3 x} \cdot (- 5) e^{- 5 x}

2 e^{- (x + y)}

What is sqrt(x(1+\sqrt{x))} ?
The solution to sqrt(x(1+\sqrt{x))} is sqrt(x)sqrt(1+\sqrt{x)}