Observe the pattern in the following and find the missing numbers. 121 = 22 2 1 + 2 + 1 12321 = 333 2 1 + 2 + 3 + 2 + 1 1234321 = _____ 123454321 = _____ 12345654321 = _____

An integer that can be expressed as the square of another integer is called a perfect square. For examples, 5 × 5 = 25 ; 7 × 7 = 49 ; . . . . are known as perfect squares. From the given relation, 121 = 22 2 1 + 2 + 1 = 22 × 22 2 × 2 = 11 × 11 = 121 12321 = 333 2 1 + 2 + 3 + 2 + 1 = 333 × 333 3 × 3 = 111 × 111 = 12321 Therefore, 1234321 = 4444 2 1 + 2 + 3 + 4 + 3 + 2 + 1 = 4444 × 4444 4 × 4 = 1111 × 1111 = 1234321 123454321 = 55555 2 1 + 2 + 3 + 4 + 5 + 4 + 3 + 2 + 1 = 55555 × 55555 5 × 5 = 11111 × 11111 = 123454321 12345654321 = 666666 2 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 666666 × 666666 6 × 6 = 111111 × 111111 = 12345654321

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Secondary Mathematics Class -VIII>Chapter 1 - Squares and Square Roots>Worksheet I

Principal Mohan Lal and J.C. Nijhawan Solutions for Chapter: Squares and Square Roots, Exercise 1: Worksheet I

Author:Principal Mohan Lal & J.C. Nijhawan

Principal Mohan Lal Mathematics Solutions for Exercise - Principal Mohan Lal and J.C. Nijhawan Solutions for Chapter: Squares and Square Roots, Exercise 1: Worksheet I

Attempt the free practice questions on Chapter 1: Squares and Square Roots, Exercise 1: Worksheet I with hints and solutions to strengthen your understanding. Secondary Mathematics Class -VIII solutions are prepared by Experienced Embibe Experts.