Solve 3400=c^2

$$3400 = c ^ { 2 }$$

Solve for c

$$c=10\sqrt{34}\approx 58.309518948$$

$$c=-10\sqrt{34}\approx -58.309518948$$

Steps by Finding Square Root

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

$$c^{2}=3400$$

Take the square root of both sides of the equation.

$$c=10\sqrt{34} c=-10\sqrt{34}$$

Steps Using the Quadratic Formula

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

$$c^{2}=3400$$

Subtract 3400 from both sides.

$$c^{2}-3400=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -3400 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\left(-3400\right)}}{2}$$

Square 0.

$$c=\frac{0±\sqrt{-4\left(-3400\right)}}{2}$$

Multiply -4 times -3400.

$$c=\frac{0±\sqrt{13600}}{2}$$

Take the square root of 13600.

$$c=\frac{0±20\sqrt{34}}{2}$$

Now solve the equation c=\frac{0±20\sqrt{34}}{2} when ± is plus.

$$c=10\sqrt{34}$$

Now solve the equation c=\frac{0±20\sqrt{34}}{2} when ± is minus.

$$c=-10\sqrt{34}$$

The equation is now solved.

$$c=10\sqrt{34} c=-10\sqrt{34}$$