Algebra Examples

$x = \frac{8 + - \sqrt{64 - 64}}{2}$

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

$x = \frac{8 - \sqrt{64 - 64}}{2}$

Step 2

Simplify the numerator.

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Step 2.1

Subtract $64$ from $64$ .

$x = \frac{8 - \sqrt{0}}{2}$

Step 2.2

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

$x = \frac{8 - \sqrt{0^{2}}}{2}$

Step 2.3

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

$x = \frac{8 - 0}{2}$

Step 2.4

Multiply $- 1$ by $0$ .

$x = \frac{8 + 0}{2}$

Step 2.5

Add $8$ and $0$ .

$x = \frac{8}{2}$

Step 3

Divide $8$ by $2$ .

$x = 4$