Solve 5=s^2

$$5 = s ^ { 2 }$$

Solve for s

$$s=\sqrt{5}\approx 2.236067977$$

$$s=-\sqrt{5}\approx -2.236067977$$

Steps by Finding Square Root

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

$$s^{2}=5$$

Take the square root of both sides of the equation.

$$s=\sqrt{5} s=-\sqrt{5}$$

Steps Using the Quadratic Formula

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

$$s^{2}=5$$

Subtract 5 from both sides.

$$s^{2}-5=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -5 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$s=\frac{0±\sqrt{0^{2}-4\left(-5\right)}}{2}$$

Square 0.

$$s=\frac{0±\sqrt{-4\left(-5\right)}}{2}$$

Multiply -4 times -5.

$$s=\frac{0±\sqrt{20}}{2}$$

Take the square root of 20.

$$s=\frac{0±2\sqrt{5}}{2}$$

Now solve the equation s=\frac{0±2\sqrt{5}}{2} when ± is plus.

$$s=\sqrt{5}$$

Now solve the equation s=\frac{0±2\sqrt{5}}{2} when ± is minus.

$$s=-\sqrt{5}$$

The equation is now solved.

$$s=\sqrt{5} s=-\sqrt{5}$$