(i) 484

Resolving 484 into prime factors we get,

484 = 2 × 2 × 11 × 11

Now,

Grouping the factors into pairs of equal factors, we get:

484 = (2 × 2) × (11 × 11)

We observe that all are paired so,

484 is a perfect square

(ii) 625

Resolving 625 into prime factors we get,

625 = 5 × 5 × 5 × 5

Now,

Grouping the factors into pairs of equal factors, we get:

625 = (5 × 5) × (5 × 5)

We observe that all are paired so,

625 is a perfect square

(iii) 576

Resolving 576 into prime factors we get,

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

Now,

Grouping the factors into pairs of equal factors, we get:

576 = (2 × 2) × (2 × 2) × (2 × 2) × (3 × 3)

We observe that all are paired so,

576 is a perfect square

(iv) 941

Resolving 941 into prime factors we get,

941 = 941 × 1

Now,

As 941 itself is a prime number

Hence,

It do not have a perfect square

(v) 961

Resolving 961 into prime factors we get,

961 = 31 × 31

Now,

Grouping the factors into pairs of equal factors, we get:

961 = (31 × 31)

We observe that all are paired so,

961 is a perfect square

(vi) 2500

Resolving 2500 into prime factors we get,

2500 = 2 × 2 × 5 × 5 × 5 × 5

Now,

Grouping the factors into pairs of equal factors, we get:

2500 = (2 × 2) × (5 × 5) × (5 × 5)

We observe that all are paired so,

2500 is a perfect square