Solve 200=sqrt{2*98*x}

$$200= \sqrt{ 2 \times 98 \times x }$$

Solve for x

$$x = \frac{10000}{49} = 204\frac{4}{49} \approx 204.081632653$$

Steps for Solving Radical Equations

Multiply 2 and 98 to get 196.

$$200=\sqrt{196x}$$

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

$$\sqrt{196x}=200$$

Square both sides of the equation.

$$196x=40000$$

Divide both sides by 196.

$$\frac{196x}{196}=\frac{40000}{196}$$

Dividing by 196 undoes the multiplication by 196.

$$x=\frac{40000}{196}$$

Reduce the fraction \frac{40000}{196} to lowest terms by extracting and canceling out 4.

$$x=\frac{10000}{49}$$