Algebra Examples

$f (x) = \sqrt{3 - 3}$

Step 1

Simplify $\sqrt{3 - 3}$ .

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Step 1.1

Rewrite.

$f (x) = 0 + 0 + \sqrt{3 - 3}$

Step 1.2

Simplify by adding zeros.

$f (x) = \sqrt{3 - 3}$

Step 1.3

Subtract $3$ from $3$ .

$f (x) = \sqrt{0}$

Step 1.4

Rewrite $0$ as $0^{2}$ .

$f (x) = \sqrt{0^{2}}$

Step 1.5

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

$f (x) = 0$

Step 2

Subtract $f (x)$ from both sides of the equation.

$0 = - f (x)$

Step 3

Rewrite the equation as $- f (x) = 0$ .

$- f (x) = 0$