Question

Solve the quadratic equation using square root property.

$u^2-300=0$

Short answer

The result is$u=\pm 10\sqrt{3}$.

Step-by-step solution

Given Information 

The Given equation is$u^2-300=0$.

Isolate the quadratic term and makes its coefficient one.

$$\begin{gathered} u^2-300=0 \\ {u}^2=300 \end{gathered}$$

 Use the square root property.  

$u=\pm \sqrt{300}$

Simplify the radical. 

Factor the radicand.

$$\begin{gathered} u=\pm \sqrt{2·2·5·5·3} \\ u=\pm 10\sqrt{3} \end{gathered}$$