Pre-Algebra Examples

$H (4) = \frac{8}{4} + 2 \sqrt{4}$

Step 1

Move $4$ to the left of $H$ .

$4 H = \frac{8}{4} + 2 \sqrt{4}$

Step 2

Simplify $\frac{8}{4} + 2 \sqrt{4}$ .

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Divide $8$ by $4$ .

$4 H = 2 + 2 \sqrt{4}$

Step 2.1.2

Rewrite $4$ as $2^{2}$ .

$4 H = 2 + 2 \sqrt{2^{2}}$

Step 2.1.3

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

$4 H = 2 + 2 \cdot 2$

Step 2.1.4

Multiply $2$ by $2$ .

$4 H = 2 + 4$

Step 2.2

Add $2$ and $4$ .

$4 H = 6$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$H = \frac{3}{2}$

Step 4