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**Hint:**To write the simplest radical form of a square root we need to factorize a number. Then we will simplify the given expression by finding the square root of 4 and 7. Substituting the values obtained in the given expression gives the simplest radical form.

**Complete step by step answer:**

We have been given an expression $ \sqrt{\dfrac{4}{49}} $ .

We have to find the simplest radical form.

Now, we know that radical means square root.

We can rewrite the given expression as

$ \Rightarrow \dfrac{\sqrt{4}}{\sqrt{49}} $

Now, we have to solve the obtained expression. We need to calculate the square root of 4 and the square root of 49. We know that when a number is multiplied by itself it is known as the square of that number.

We know that 4 and 49 both are perfect squares so we can factorize both as

$ \begin{align}

& \Rightarrow 4=2\times 2 \\

& \Rightarrow 49=7\times 7 \\

\end{align} $

So we get the values

\[\begin{align}

& \Rightarrow \sqrt{4}=2 \\

& \Rightarrow \sqrt{49}=7 \\

\end{align}\]

Now, substituting the values we get

$ \Rightarrow \dfrac{\sqrt{4}}{\sqrt{49}}=\dfrac{2}{7} $

Now, we get the simplest form as $ \dfrac{2}{7} $ .

**Note:**

A number of the form $ \sqrt{x} $ is a real number, where $ x $ is called the radicand and the symbol $ \sqrt{{}} $ is known as radical symbol. The word radical in mathematics denotes the root or square root. Every number has two roots either positive or negative.

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