Simplify square root of 3- square root of 9

$\sqrt{3} - \sqrt{9}$

Step 1

Rewrite $9$ as $3^{2}$ .

$\sqrt{3} - \sqrt{3^{2}}$

Step 2

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

$\sqrt{3} - 1 \cdot 3$

Step 3

Multiply $- 1$ by $3$ .

$\sqrt{3} - 3$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3} - 3$

Decimal Form:

$- 1.26794919 \dots$