Solve c^2=62

$$c ^ { 2 } = 62$$

Solve for c

$$c=\sqrt{62}\approx 7.874007874$$

$$c=-\sqrt{62}\approx -7.874007874$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$c=\sqrt{62} c=-\sqrt{62}$$

Steps Using the Quadratic Formula

Subtract 62 from both sides.

$$c^{2}-62=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -62 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\left(-62\right)}}{2}$$

Square 0.

$$c=\frac{0±\sqrt{-4\left(-62\right)}}{2}$$

Multiply -4 times -62.

$$c=\frac{0±\sqrt{248}}{2}$$

Take the square root of 248.

$$c=\frac{0±2\sqrt{62}}{2}$$

Now solve the equation c=\frac{0±2\sqrt{62}}{2} when ± is plus.

$$c=\sqrt{62}$$

Now solve the equation c=\frac{0±2\sqrt{62}}{2} when ± is minus.

$$c=-\sqrt{62}$$

The equation is now solved.

$$c=\sqrt{62} c=-\sqrt{62}$$