Solve for x ( square root of x)/3-8=2

$\frac{\sqrt{x}}{3} - 8 = 2$

Solve for $\sqrt{x}$ .

Move all terms not containing $\sqrt{x}$ to the right side of the equation.

Add $8$ to both sides of the equation.

$\frac{\sqrt{x}}{3} = 2 + 8$

Add $2$ and $8$ .

$\frac{\sqrt{x}}{3} = 10$

Multiply both sides of the equation by $3$ .

$3 \frac{\sqrt{x}}{3} = 3 \cdot 10$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{\sqrt{x}}{3} = 3 \cdot 10$

Rewrite the expression.

$\sqrt{x} = 3 \cdot 10$

Simplify the right side.

Multiply $3$ by $10$ .

$\sqrt{x} = 30$

To remove the radical on the left side of the equation, square both sides of the equation.

${\sqrt{x}}^{2} = 30^{2}$

Simplify each side of the equation.

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{x}$ as $x^{\frac{1}{2}}$ .

${(x^{\frac{1}{2}})}^{2} = 30^{2}$

Simplify the left side.

Simplify ${(x^{\frac{1}{2}})}^{2}$ .

Multiply the exponents in ${(x^{\frac{1}{2}})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x^{\frac{1}{2} \cdot 2} = 30^{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$x^{\frac{1}{2} \cdot 2} = 30^{2}$

Rewrite the expression.

$x^{1} = 30^{2}$

Simplify.

$x = 30^{2}$

Simplify the right side.

Raise $30$ to the power of $2$ .

$x = 900$