Squares and Square Roots Concepts in Mathematics

This class would cover 

• Real Life applications of squares and square roots 
• Patterns and Properties of Perfect Squares
• Perfect Squares and odd numbers 
• Estimation of square roots 
• Square roots by divison method 
• Square roots by prime factorisation method 
• Assesment Questions 

CONCEPTS

• A natural number n is called a perfect  square or a square number if there exists a natural number m such that n=m^2
• A number having 2,3,7or 8 at units place is never a perfect square
• The number of zeros at the end of a perfect square is always even
• Square of even numbers is always even and odd numbers is always odd
• There are no natural numers p and q such that p^2=2q^2
• The difference of squares of two consecutive squares is 2n+1
• The square of a natural number n is equal to the sum of first n odd natural numbers 
• Negative numbers have no square roots in the system of rational numbers