Solve sqrt{1+x/2}=1.253

$$\sqrt{ 1+ \frac{ x }{ 2 } } = 1.253$$

Solve for x

$$x=1.140018$$

Steps for Solving Radical Equations

Square both sides of the equation.

$$\frac{1}{2}x+1=1.570009$$

Subtract 1 from both sides of the equation.

$$\frac{1}{2}x+1-1=1.570009-1$$

Subtracting 1 from itself leaves 0.

$$\frac{1}{2}x=1.570009-1$$

Subtract 1 from 1.570009.

$$\frac{1}{2}x=0.570009$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{0.570009}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$x=\frac{0.570009}{\frac{1}{2}}$$

Divide 0.570009 by \frac{1}{2} by multiplying 0.570009 by the reciprocal of \frac{1}{2}.

$$x=\frac{570009}{500000}$$