Question

8. Using prime factorization method, find which of the following numbers are perfect squares: give complete solution
(i) 1296
(ii) 2401
(iii) 9216
(iv) 3024
(v) 1500
(vi) 3549
(vii) 4000
(viii) 9801​

Answer 1

Answer:

1. perfect square
2. perfect square
3. perfect square
4. not a perfect square
5. not a perfect square
6. not a perfect square
7. not a perfect square
8. perfect square

Explanation:

To find if the number is perfect square or not through Prime factorisation use the method

for example 484 take out LCM of this :-

484 = 2 × 2 × 11 × 11

√484 = √(2 × 2 × 11 × 11)

= 2 × 11

Therefore, √484 = 22

484 is a perfect square.

Proved .