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Using prime factorisation, find the following is a perfect square : 11250

Solution:

Given, the number is 11250.

We have to determine if 11250 is a perfect square 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,

Using prime factorisation, find the following is a perfect square : 11250

So, 11250 = 2 × 3 × 3 × 5 × 5 × 5 × 5

We observe that 2 occur without a pair.

Therefore, 11250 is not a perfect square.

✦ Try This: Using prime factorisation, find the following is a perfect square : 22500

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 91 (b)

Summary:

By checking 11250 using prime factorisation, it is clear that 11250 is not a perfect square.

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