Solve c^2=24

$$c ^ { 2 } = 24$$

Solve for c

$$c=2\sqrt{6}\approx 4.898979486$$

$$c=-2\sqrt{6}\approx -4.898979486$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$c=2\sqrt{6} c=-2\sqrt{6}$$

Steps Using the Quadratic Formula

Subtract 24 from both sides.

$$c^{2}-24=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -24 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\left(-24\right)}}{2}$$

Square 0.

$$c=\frac{0±\sqrt{-4\left(-24\right)}}{2}$$

Multiply -4 times -24.

$$c=\frac{0±\sqrt{96}}{2}$$

Take the square root of 96.

$$c=\frac{0±4\sqrt{6}}{2}$$

Now solve the equation c=\frac{0±4\sqrt{6}}{2} when ± is plus.

$$c=2\sqrt{6}$$

Now solve the equation c=\frac{0±4\sqrt{6}}{2} when ± is minus.

$$c=-2\sqrt{6}$$

The equation is now solved.

$$c=2\sqrt{6} c=-2\sqrt{6}$$