# How do you solve x^2-180 = 0 ?

Mar 22, 2016

$x = \pm 6 \sqrt{5}$

#### Explanation:

Add $180$ to both sides.

${x}^{2} = 180$

Take the square root of both sides. Recall that the positive and negative roots can be taken.

$x = \pm \sqrt{180}$

We can simplify $\sqrt{180}$ as $\sqrt{36} \cdot \sqrt{5} = 6 \sqrt{5}$.

$x = \pm 6 \sqrt{5}$

Mar 22, 2016

 x = ± 6sqrt5

#### Explanation:

There are no common factors here so write as

 x^2 = 180 → x = ± sqrt180

now require to simplify $\sqrt{180}$

considering factors of 180 , one of which is a square.

$\Rightarrow \sqrt{180} = \sqrt{36 \times 5} = \sqrt{36} \times \sqrt{5} = 6 \sqrt{5}$

thus :  x = ± 6sqrt5