Solve 361,600=c^2

$$361,600 = c ^ { 2 }$$

Solve for c

$$c=40\sqrt{226}\approx 601.331855135$$

$$c=-40\sqrt{226}\approx -601.331855135$$

Steps by Finding Square Root

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

$$c^{2}=361600$$

Take the square root of both sides of the equation.

$$c=40\sqrt{226} c=-40\sqrt{226}$$

Steps Using the Quadratic Formula

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

$$c^{2}=361600$$

Subtract 361600 from both sides.

$$c^{2}-361600=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -361600 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\left(-361600\right)}}{2}$$

Square 0.

$$c=\frac{0±\sqrt{-4\left(-361600\right)}}{2}$$

Multiply -4 times -361600.

$$c=\frac{0±\sqrt{1446400}}{2}$$

Take the square root of 1446400.

$$c=\frac{0±80\sqrt{226}}{2}$$

Now solve the equation c=\frac{0±80\sqrt{226}}{2} when ± is plus.

$$c=40\sqrt{226}$$

Now solve the equation c=\frac{0±80\sqrt{226}}{2} when ± is minus.

$$c=-40\sqrt{226}$$

The equation is now solved.

$$c=40\sqrt{226} c=-40\sqrt{226}$$