Question

Choose the number line that could show this value. Square root of 28

Answer 1

Notice that 5*5=25, and 6*6=36; thus,

`\Rightarrow\sqrt[]{25}=5,\sqrt[]{36}=6`

Furthermore,

`\begin{gathered} \sqrt[]{25}<\sqrt[]{28}<\sqrt[]{36} \\ \Rightarrow5<\sqrt[]{28}<6 \end{gathered}`

Thus, sqrt(28) is between 5 and 6, the answer is the third option (top to bottom)

It is a fact that

`\begin{gathered} b>a\ge0 \\ \Rightarrow\sqrt[]{b}>\sqrt[]{a} \end{gathered}`