Question

Simplify Expressions -

$\frac{\sqrt{72}}{18}$

Short answer

The simplification of Expression will be -$\frac{\sqrt{2}}{3}$

Step-by-step solution

Step 1.  Given Data 

Expressions -

$\frac{\sqrt{72}}{18}$

Step 2.  To Find 

Simplify The Expressions

Step 3.  Explanation  

Expressions -

$$\begin{gathered} \frac{\sqrt{72}}{18} \\ \frac{\sqrt{36\times 2}}{6\times 3} \end{gathered}$$

Step 4.  Calculation  

Remove common factors in the numerator and denominator.

$\frac{\sqrt{36\times 2}}{6\times 3}$

Simplify-

$$\begin{gathered} \frac{\sqrt{36\times 2}}{6\times 3} \\ \frac{\sqrt{6\times 6\times 2}}{6\times 3} \\ \frac{\sqrt{2}}{3} \end{gathered}$$