Solve sqrt{10*(H+1.932)}=5.83

$$\sqrt { 10 \times ( H + 1.932 ) } = 5.83$$

Solve for H

$$H=1.46689$$

Steps for Solving Radical Equations

Use the distributive property to multiply 10 by H+1.932.

$$\sqrt{10H+19.32}=5.83$$

Square both sides of the equation.

$$10H+19.32=33.9889$$

Subtract 19.32 from both sides of the equation.

$$10H+19.32-19.32=33.9889-19.32$$

Subtracting 19.32 from itself leaves 0.

$$10H=33.9889-19.32$$

Subtract 19.32 from 33.9889 by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.

$$10H=14.6689$$

Divide both sides by 10.

$$\frac{10H}{10}=\frac{14.6689}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$H=\frac{14.6689}{10}$$

Divide 14.6689 by 10.

$$H=1.46689$$