Solve for x x/2+1 = square root of 3

$\frac{x}{2} + 1 = \sqrt{3}$

Step 1

Subtract $1$ from both sides of the equation.

$\frac{x}{2} = \sqrt{3} - 1$

Step 2

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 (\sqrt{3} - 1)$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{x}{2} = 2 (\sqrt{3} - 1)$

Rewrite the expression.

$x = 2 (\sqrt{3} - 1)$

$x = 2 (\sqrt{3} - 1)$

$x = 2 (\sqrt{3} - 1)$

Simplify the right side.

Simplify $2 (\sqrt{3} - 1)$ .

Apply the distributive property.

$x = 2 \sqrt{3} + 2 \cdot - 1$

Multiply $2$ by $- 1$ .

$x = 2 \sqrt{3} - 2$

$x = 2 \sqrt{3} - 2$

$x = 2 \sqrt{3} - 2$

$x = 2 \sqrt{3} - 2$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = 2 \sqrt{3} - 2$

Decimal Form:

$x = 1.46410161 \dots$

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