Using prime factorisation, find the square root of 4761.

Solution:

Given, the number is 4761.

We have to determine the square root of 4761 using prime factorisation.

Prime factorization is a way of expressing a number as a product of its prime factors.

A prime number is a number that has exactly two factors, 1 and the number itself.

Using prime factorisation,

So, 4761 = 3 × 3 × 23 × 23

We observe that 3 and 23 occur in pairs.

Square root is an inverse operation of the square.

So, √4761 = √(3² × 23²)

= 3 × 23

= 69

Therefore, the square root of 4761 is 69.

✦ Try This: Using prime factorisation, find the square root of 62500.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 96 (b)

Using prime factorisation, find the square root of 4761

Summary:

Using prime factorisation, the square root of 4761 is 69.

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