Solve sqrt{3(x+2)}=10

$$\sqrt { 3 ( x + 2 ) } = 10$$

Solve for x

$$x = \frac{94}{3} = 31\frac{1}{3} \approx 31.333333333$$

Steps for Solving Radical Equations

Use the distributive property to multiply 3 by x+2.

$$\sqrt{3x+6}=10$$

Square both sides of the equation.

$$3x+6=100$$

Subtract 6 from both sides of the equation.

$$3x+6-6=100-6$$

Subtracting 6 from itself leaves 0.

$$3x=100-6$$

Subtract 6 from 100.

$$3x=94$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{94}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{94}{3}$$