Telangana Board Solutions for Chapter: Square Roots and Cube Roots, Exercise 8: Exercise 8

Find the square root of $4096$ by prime factorization method.

Find the square root of $7056$ by prime factorization method.

Find the smallest number by which $3645$ must be multiplied to get a perfect square.

Find the smallest number by which $7776$ is to be divided to get a perfect square.

$1521$ trees are planted in a garden in such a way that there are as many trees in each row as there are rows in the garden. Find the number of rows and number of trees in each row

A school collected $₹2601$ as fees from its students. If fee paid by each student and the number of students in the school were equal, how many students were there in the school?

$7921$ soldiers sat in an auditorium in such a way that there are as many soldiers in a row as there are rows in the auditorium. How many rows are there in the auditorium?

The area of a square field is $5184{\mathrm{m}}^2$. Find the area of a rectangular field (in ${\mathrm{m}}^2$) whose perimeter is equal to the perimeter of the square field and whose length is twice of its breadth.