Question

Simplify: 6 divided by the square root of 8

Answer 1

`\frac{\text{3}}{\sqrt[]{2}}`

Step-by-step explanation:

`\begin{gathered} \text{square root of 8 = }\sqrt[]{8} \\ 6\text{ divided by square root of 8 = }\frac{6}{\sqrt[]{8}} \end{gathered}`
`\begin{gathered} \sqrt[]{8}\text{ = }\sqrt[]{2*4\text{ }}\text{ = 2}\sqrt[]{2} \\ \frac{6}{\sqrt[]{8}}\text{ = }\frac{6}{\text{2}\sqrt[]{2}} \end{gathered}`
`\begin{gathered} =\text{ }\frac{2\text{ }*\text{ 3}}{\text{2}*\sqrt[]{2}} \\ =\text{ }\frac{3}{\sqrt[]{2}} \\ =\text{ }\frac{3}{\sqrt[]{2}}*\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{\text{3}\sqrt[]{2}}{\sqrt[]{4}} \\ =\text{ }\frac{\text{3}\sqrt[]{2}}{2} \\ \text{Simplified can be }\frac{3}{\sqrt[]{2}}\text{or }\frac{\text{3}\sqrt[]{2}}{2} \\ \text{They are the same} \end{gathered}`