S Purkayastha Solutions for Chapter: Squares and Square Roots, Exercise 4: CHECK POINT

Find the smallest number by which $396$ must be multiplied so that the product becomes a perfect square. 

Find the least number that is a perfect square and divisible by each number $8, 9\text{ and} 10$.

The area of a square field is $534361 {\mathrm{m}}^2$. Find the length of its sides.

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.

$1225$ saplings 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 planned to go on a picnic. Each student contributed as many as rupees as the number of students in the class. If the total contribution be $₹1521$, find the strength of the class.

$5929$ students are sittings in an auditorium in such a manner that there are as many students in a row as there are rows in the auditorium. How many rows are there in the auditorium?

A school collected $₹2304$ as fees from its students. If each student paid as many paise as there were students in the school, how many students were there in the school?