Solve for m m/2- square root of 5=3

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

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.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Simplify the right side.

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

Apply the distributive property.

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

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:

$m = 10.47213595 \dots$

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