Algebra Examples

$\frac{m}{2} - \sqrt{5} = 3$

Step 1

Add $\sqrt{5}$ to both sides of the equation.

$\frac{m}{2} = 3 + \sqrt{5}$

Step 2

Multiply both sides of the equation by $2$ .

$2 \frac{m}{2} = 2 (3 + \sqrt{5})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $2$ .

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Step 3.1.1.1

Cancel the common factor.

$2 \frac{m}{2} = 2 (3 + \sqrt{5})$

Step 3.1.1.2

Rewrite the expression.

$m = 2 (3 + \sqrt{5})$

$m = 2 (3 + \sqrt{5})$

$m = 2 (3 + \sqrt{5})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $2 (3 + \sqrt{5})$ .

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Step 3.2.1.1

Apply the distributive property.

$m = 2 \cdot 3 + 2 \sqrt{5}$

Step 3.2.1.2

Multiply $2$ by $3$ .

$m = 6 + 2 \sqrt{5}$

$m = 6 + 2 \sqrt{5}$

$m = 6 + 2 \sqrt{5}$

$m = 6 + 2 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$m = 6 + 2 \sqrt{5}$

Decimal Form:

$m = 10.47213595 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$