Solve 1+x/12=sqrt{1+25/144}

$$1 + \frac { x } { 12 } = \sqrt { 1 + \frac { 25 } { 144 } }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12.

$$12+x=12\sqrt{1+\frac{25}{144}}$$

Convert 1 to fraction \frac{144}{144}.

$$12+x=12\sqrt{\frac{144}{144}+\frac{25}{144}}$$

Since \frac{144}{144} and \frac{25}{144} have the same denominator, add them by adding their numerators.

$$12+x=12\sqrt{\frac{144+25}{144}}$$

Add 144 and 25 to get 169.

$$12+x=12\sqrt{\frac{169}{144}}$$

Rewrite the square root of the division \frac{169}{144} as the division of square roots \frac{\sqrt{169}}{\sqrt{144}}. Take the square root of both numerator and denominator.

$$12+x=12\times \frac{13}{12}$$

Cancel out 12 and 12.

$$12+x=13$$

Subtract 12 from both sides.

$$x=13-12$$

Subtract 12 from 13 to get 1.

$$x=1$$