# How do you solve the equation sqrth=9?

Apr 28, 2017

$h = 81$

#### Explanation:

$\sqrt{h} = 9$

$\text{to 'undo' the root "color(blue)"square both sides}$

$\text{note} {\left(\sqrt{100}\right)}^{2} = \sqrt{100} \times \sqrt{100} = 10 \times 10 = 100$

$\text{that is we obtain the value inside the root}$

$\Rightarrow {\left(\sqrt{h}\right)}^{2} = {9}^{2}$

$\Rightarrow h = 81 \text{ is the solution}$