The square root of 4761 is 69. This can be found out by factorizing 4761 and collecting them in pairs as explained below.

**Step 1: Finding the factors of 4761**

We shall find all the factors of 4761 by repeatedly doing division again and again. Since the last digit of 4761 is odd it is not divisible by 2. So we begin by dividing by 3. At each step we shall write the factor of 4761 in bold. 4761 \div 3 = 1587. Therefore, **3 is a factor of 4761**.

We now divide the result 1587 by 3. 1587 \div 3 = 529. Therefore, **3 is once again a factor of 4761**.

We now try to divide 529. By trial and error 529 is divisible by the prime number 23. 529 \div 23 = 23. Therefore, **the remaining factors are 23 and 23**.

**Step 2: Collect Pairs among the Prime Factors:**

We have that the factors of 4761 are 3, 3, 23 and 23. So we have that, 4761 = 3\times 3\times 23\times 23. Collecting them in pairs we get, 4761 = \underline{3\times 3}\times \underline{23\times 23}. In order to find the square root we take one number from each pair and multiply them. Therefore, \sqrt{4761} = 3\times 23 = 69. So we conclude that the square root of 4761 is 69. We can verify that 69^2 = 4761 .