Case Study Questions for Class 8 Maths Chapter 6 Squares and Square Roots

Case Study Questions for Class 8 Maths Chapter 6 Squares and Square Roots

Here we are providing Case Study questions for Class 8 Maths Chapter 6 Squares and Square Roots.

Maths Class 8 Chapter 6	Squares and Square Roots
Maths	CBSE Class 8
Chapter Covered	Class 8 Maths Chapter 6
Topics	Pattern of Square Number
Type of Questions	Case Study Questions
Questions with Answers	Yes, answers provided
Important Keywords	Provided in the end

Case Study Questions

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CBSE Class 8 Maths Chapter 6 Squares and Square Roots

Learning Outcomes

• Pattern of Square Number

Important Keywords

• Square Number: The square of a number is the product of the number with the number itself Thus, square of x = (x × x), denoted by x².
• Square Root: Square root is the inverse operation of square, i.e., positive square root of a number is denoted by the symbol √
  For example, 3² = 9 gives √9 = 3 or (3²)^1/2 = 3.

Important Facts

• A number ending in 2, 3, 7 or 8 is never a perfect square.
• A number ending in an odd number of zeros is never a perfect square.
• The square of an even number is even.
• The square of an odd number is odd.
• The square of a proper fraction is smaller than the fraction.
• For every natural number n, we have {(n + 1)² – n²} = {(n + 1) + n}.
• Sum of first n odd natural numbers = n².
• If m, n, p are natural numbers such that (m² + n²) = p², then (m, n, p) is called a Pythagorean triplet.
• For every natural number m > 1, (2m, m² – 1, m² + 1) is a Pythagorean triplet.