Find whether 1156 and 2800 are perfect squares using prime factorisation. Class 8

Find whether 1156 and 2800 are perfect squares using prime factorisation. Class 8

Find whether 1156 and 2800 are perfect squares using prime factorisation. Class 8

Solution:

Thus, 1156 = 2 × 2 × 17 × 17.

Since, factors are in pairs, so 1156 is a perfect square.

Thus, 2800 = 2 × 2 × 5 × 5 × 2 × 2 × 7.

As 7 is not in pair, so 2800 is not a perfect square.