Simplify square root of x*x

$\sqrt{x \cdot x}$

Step 1

Raise $x$ to the power of $1$ .

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

Step 2

Raise $x$ to the power of $1$ .

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

Step 3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 4

Add $1$ and $1$ .

$\sqrt{x^{2}}$

Step 5

Pull terms out from under the radical, assuming positive real numbers.

$x$