Find the square root of the following number by using the method of prime factorization: $11025$

Find the square root of the following number by using the method of prime factorization: $15876$

Find the square root of the following number by using the method of prime factorization: $17424$

Find the smallest number by which $252$ must be multiplied to get a perfect square.

Also, find the square root of the perfect square so obtained.

Find the smallest number by which $2925$ must be divided to obtain a perfect square.

Also, find the square root of the perfect square so obtained.

$1225$ plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows.

Find the number of rows and the number of plants in each row.

The students of a class arranged a picnic. Each student contributed as many rupees as the number of students in the class. If the total contribution is $₹1156$, find the strength of the class.

Find the least square number which is exactly divisible by each of the numbers $6, 9, 15$ and $20.$

Find the least square number which is exactly divisible by each of the numbers $8, 12, 15$ and $20$.