Question

Using the prime factorization method,find which of the following numbers are not perfect squares:

i)9025​

Answer 1

Answer:

One of the prime factors (3) has an odd power hence 768 is not a perfect square. Since the powers of the prime factors are even then 1296 is a perfect square. Since one of its prime factors has an odd power then 8000 is not a perfect square. Since both prime factors have an even power then 9025 is a perfect square.

Answer 2

Answer:

9025 is perfect square