Solve 4^2*5^2div2=sqrt{x}

$$4 ^ { 2 } \times 5 ^ { 2 } \div 2 = \sqrt { x }$$

Solve for x

$$x=40000$$

Steps for Solving Radical Equations

Multiply both sides of the equation by 2.

$$4^{2}\times 5^{2}=2\sqrt{x}$$

Calculate 4 to the power of 2 and get 16.

$$16\times 5^{2}=2\sqrt{x}$$

Calculate 5 to the power of 2 and get 25.

$$16\times 25=2\sqrt{x}$$

Multiply 16 and 25 to get 400.

$$400=2\sqrt{x}$$

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

$$2\sqrt{x}=400$$

Divide both sides by 2.

$$\sqrt{x}=\frac{400}{2}$$

Divide 400 by 2 to get 200.

$$\sqrt{x}=200$$

Square both sides of the equation.

$$x=40000$$