Jagat Jitendra Matto Solutions for Chapter: Squares and Square Roots, Exercise 4: EXERCISE 3.4

Find the smallest number by which $5392$ must be divided so that the quotient is a perfect square. Find the square root of the quotient.

The product of two numbers is $2197$. If one of the numbers is $13$ times the other number, find the numbers.

A rectangular field is $81 \mathrm{m}$ long and $49 \mathrm{m}$ wide. A square field has the same area as that of the rectangular field. Find the side of the square field.

A school collected $₹11025$ as fees from its students. If each student paid as much money as there were students in the school, how many students were there in the school?

Find the smallest number by which $27783$ must be multiplied so that it becomes a perfect square.

The product of two numbers is $4046$ and their quotient is $\frac{7}{2}$. Find the numbers.

Find the smallest number by which $2925$ should be divided so as to get a perfect square. Also, find the square root of the square number so obtained.

Find the smallest number by which $2645$ should be divided so as to get a perfect square. Also, find the square root of the square number so obtained.