Simplify square root of x^3+x^2

$\sqrt{x^{3} + x^{2}}$

Factor $x^{2}$ out of $x^{3} + x^{2}$ .

Factor $x^{2}$ out of $x^{3}$ .

$\sqrt{x^{2} x + x^{2}}$

Multiply by $1$ .

$\sqrt{x^{2} x + x^{2} \cdot 1}$

Factor $x^{2}$ out of $x^{2} x + x^{2} \cdot 1$ .

$\sqrt{x^{2} (x + 1)}$

$\sqrt{x^{2} (x + 1)}$

Rewrite $1$ as $1^{2}$ .

$\sqrt{x^{2} (x + 1^{2})}$

Pull terms out from under the radical.

$x \sqrt{x + 1^{2}}$

One to any power is one.

$x \sqrt{x + 1}$

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