Check whether 90 is a perfect square or not by using prime factorisation.

Solution:

Given, the number is 90.

We have to check if 90 is a perfect square or not by 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.

Prime factorisation of 90 is

So, 90 = 2 × 3 × 3 × 5

We observe that 2 and 5 do not occur in pairs.

Therefore, 90 is not a perfect square.

✦ Try This: Check whether 80 is a perfect square or not by using prime factorisation.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Sample Problem 21

Check whether 90 is a perfect square or not by using prime factorisation

Summary:

By checking 90 using prime factorisation, it is clear that 90 is not a perfect square

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