Question

Using prime factorisation, find the square roots of $4761$

Answer 1

Let us first determine the factors by the method of prime factorization

Hence the factors obtained of $4761=3\times 3\times 23\times 23$

On grouping and pairing the obtained factors we get $=(3\times 3)\times (23\times 23)$

Then, Square root of $4761=\sqrt{4761}$

$$\begin{gathered} =\sqrt{(3\times 3)\times (23\times 23)} \\ =\sqrt{(3^2\times {23}^2} \\ =3\times 23 \\ =69 \end{gathered}$$

The Square root of $4761$is $69$.