Solve b^2=825

$$b ^ { 2 } = 825$$

Solve for b

$$b=5\sqrt{33}\approx 28.722813233$$

$$b=-5\sqrt{33}\approx -28.722813233$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$b=5\sqrt{33} b=-5\sqrt{33}$$

Steps Using the Quadratic Formula

Subtract 825 from both sides.

$$b^{2}-825=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -825 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$b=\frac{0±\sqrt{0^{2}-4\left(-825\right)}}{2}$$

Square 0.

$$b=\frac{0±\sqrt{-4\left(-825\right)}}{2}$$

Multiply -4 times -825.

$$b=\frac{0±\sqrt{3300}}{2}$$

Take the square root of 3300.

$$b=\frac{0±10\sqrt{33}}{2}$$

Now solve the equation b=\frac{0±10\sqrt{33}}{2} when ± is plus.

$$b=5\sqrt{33}$$

Now solve the equation b=\frac{0±10\sqrt{33}}{2} when ± is minus.

$$b=-5\sqrt{33}$$

The equation is now solved.

$$b=5\sqrt{33} b=-5\sqrt{33}$$