Squares and Squ...

3136 students are sitting in an examination hall in such a manner that there are as many students in a row as there are rows in the examination hall. How many rows are there in the examination hall?

A principal wished to arrange his students, who were 1943 in number, in the form of a square and found that there were 7 students left over. How many students were there in each row?

The product of two numbers is 1008 and their quotient is . Find the numbers.

Find the smallest square number which is divisible by each of the numbers 8, 9 and 10.

Find the smallest number by which 176 must be multiplied so that the product becomes a perfect square.

What will be the square root of 12,100 by using the prime factorisation method?

What will be the square of 575 by using the identity (a - b)² = a² - 2ab + b²?

What will be the square of 189 by using the identity (a - b)² = a² - 2ab + b²?

What will be the square of 211 by using the identity (a + b)² = a² + 2ab + b² ?

What will be the square of 509 by using the identity (a + b)² = a² + 2ab + b²?

Which of the following are Pythagorean triplets?

Which of the following are the other two Pythagorean triplets of 16?

Find the smallest number by which 1,27,008 must be multiplied so that the product is a perfect square.

A warrior arranged his men, who were 11,032 in number, in the form of a square and found that there were 7 men left over. How many men were there in each row?

Find the smallest square number which is divisible by each of the numbers 7, 8 and 9.