Prime Factorization for Finding Perfect Square

Q.

Find the square root of $529$ by prime factorization method.

Q.

Find the square root of $44$ in radical form

Q. Find the square root of $1,764$ using prime factorization method.

1. $32$
2. $38$
3. $42$
4. $48$

Q. Is it possible to find the square root of a non-perfect square integer using the prime factorization method?

1. Yes
2. No

Q. Find the square roots of the following number by the Prime Factorization method:
729

Q. Fill in the blank with $‘‘Yes/No"$ for the following statement.

Is $276$ a perfect square?

Q. Which of the following statement(s) regarding $324$ is(are) true?

1. Prime factorization of $324=2\times 2\times 3\times 3\times 3\times 3$
2. Number of distinct prime factors is $2$
3. Number of distinct prime factors is $6$
4. It is a perfect square.
5. It is not a perfect square.

Q. Which of the following statement(s) about a perfect square is(are) correct?

1. It is a product of two identical integers.
2. The count of distinct prime factors must be divisible by $2.$
3. None of the above