Solve d=5/6sqrt{h}

$$d = \frac { 5 } { 6 } \sqrt { h }$$

Solve for h

$$h=\frac{36d^{2}}{25}$$

$$d\geq 0$$

Steps for Solving Radical Equations

Swap sides so that all variable terms are on the left hand side.

$$\frac{5}{6}\sqrt{h}=d$$

Divide both sides of the equation by \frac{5}{6}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{6}\sqrt{h}}{\frac{5}{6}}=\frac{d}{\frac{5}{6}}$$

Dividing by \frac{5}{6} undoes the multiplication by \frac{5}{6}.

$$\sqrt{h}=\frac{d}{\frac{5}{6}}$$

Divide d by \frac{5}{6} by multiplying d by the reciprocal of \frac{5}{6}.

$$\sqrt{h}=\frac{6d}{5}$$

Square both sides of the equation.

$$h=\frac{36d^{2}}{25}$$

Solve for d

$$d=\frac{5\sqrt{h}}{6}$$

$$h\geq 0$$