Solve 7^2sqrt{(x)*46^2}=459/4

$${ 7 }^{ 2 } \sqrt{ (x) \times { 46 }^{ 2 } } = \frac{ 459 }{ 4 }$$

Solve for x

$$x=\frac{210681}{81288256}\approx 0.002591777$$

Steps for Solving Radical Equations

Divide both sides by 49.

$$\frac{49\sqrt{2116x}}{49}=\frac{\frac{459}{4}}{49}$$

Dividing by 49 undoes the multiplication by 49.

$$\sqrt{2116x}=\frac{\frac{459}{4}}{49}$$

Divide \frac{459}{4} by 49.

$$\sqrt{2116x}=\frac{459}{196}$$

Square both sides of the equation.

$$2116x=\frac{210681}{38416}$$

Divide both sides by 2116.

$$\frac{2116x}{2116}=\frac{\frac{210681}{38416}}{2116}$$

Dividing by 2116 undoes the multiplication by 2116.

$$x=\frac{\frac{210681}{38416}}{2116}$$

Divide \frac{210681}{38416} by 2116.

$$x=\frac{210681}{81288256}$$