**Let’s find out today** what is the square root of 4761 and how to find it. The square root of 4761 can be written with mathematical symbols as follows:

\sqrt{4761}

step by step** explanation**

Tip**I Step :** First of all express the given number as a product of prime factors using prime factors

**II Step :** Form a pair of similar factors in such a way that both the factors of each pair are equal.

**Step III :** If no factors are left in the pairing then the number is a perfect square otherwise not

**Step IV :** Find the product of the product obtained by taking one factor from each pair. That product is the square root of the given number.

write the given number

Given number = 4761

Now express the given number as a product of prime factors using prime factors and form a pair of similar factors such that both the factors are equal in each pair

4761~=~3~\times~3~~\times~23~\times~23~=~3^2~~\times~23^2

find the square root

Since there are no factors left in the pairing, the number is a perfect square.

\sqrt{4761} ~=~2~ \times 23~=69

**The answer to the square root of 4761 is 69. Is**

How to find square root?

Finding the Rough Square Root

If D is odd, D = 2n + 1, then if D is even, D = 2n + 2, then find the square root of 234. Here D=3 and n=1

What is a square root measure?

Now, to find the square root, you need to find the original number that was multiplied by itself. … A real number which is positive has a positive root. It is called x−−√ . where x refers to the number whose square root is to be found and the value of x is called the radix.

What will be the square root of 7?square root

Number | square root | Number |
---|---|---|

25 | 5 | 225 |

36 | 6 | 256 |

49 | 7 | 289 |

64 | 8 | 324 |